70845097623552 has 2160 divisors, whose sum is σ = 267068875248000. Its totient is φ = 18453858877440.

The previous prime is 70845097623367. The next prime is 70845097623617. The reversal of 70845097623552 is 25532679054807.

70845097623552 is a `hidden beast` number, since 7 + 0 + 8 + 4 + 5 + 0 + 9 + 76 + 2 + 3 + 552 = 666.

It is a super-2 number, since 2×70845097623552² (a number of 29 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 70845097623552.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 395782668199 + ... + 395782668377.

It is an arithmetic number, because the mean of its divisors is an integer number (123642997800).

Almost surely, 2^{70845097623552} is an apocalyptic number.

70845097623552 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 70845097623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133534437624000).

70845097623552 is an abundant number, since it is smaller than the sum of its proper divisors (196223777624448).

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

70845097623552 is a wasteful number, since it uses less digits than its factorization.

70845097623552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 70845097623552 in words is "seventy trillion, eight hundred forty-five billion, ninety-seven million, six hundred twenty-three thousand, five hundred fifty-two".