70539845961312 has 3072 divisors, whose sum is σ = 283043819520000. Its totient is φ = 16923757068288.

The previous prime is 70539845961289. The next prime is 70539845961341. The reversal of 70539845961312 is 21316954893507.

70539845961312 is a `hidden beast` number, since 7 + 0 + 5 + 3 + 9 + 8 + 4 + 5 + 9 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×70539845961312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 70539845961312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 229771485063 + ... + 229771485369.

It is an arithmetic number, because the mean of its divisors is an integer number (92136660000).

It is a 1-persistent number, because it is pandigital, but 2⋅70539845961312 = 141079691922624 is not.

Almost surely, 2^{70539845961312} is an apocalyptic number.

70539845961312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70539845961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141521909760000).

70539845961312 is an abundant number, since it is smaller than the sum of its proper divisors (212503973558688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70539845961312 is a wasteful number, since it uses less digits than its factorization.

70539845961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 70539845961312 in words is "seventy trillion, five hundred thirty-nine billion, eight hundred forty-five million, nine hundred sixty-one thousand, three hundred twelve".