70743982321152 has 720 divisors, whose sum is σ = 251544137644800. Its totient is φ = 19782431649792.

The previous prime is 70743982321139. The next prime is 70743982321183. The reversal of 70743982321152 is 25112328934707.

70743982321152 is a `hidden beast` number, since 7 + 0 + 7 + 4 + 398 + 232 + 1 + 15 + 2 = 666.

It is a super-2 number, since 2×70743982321152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286406599 + ... + 286653497.

It is an arithmetic number, because the mean of its divisors is an integer number (349366857840).

Almost surely, 2^{70743982321152} is an apocalyptic number.

70743982321152 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 70743982321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125772068822400).

70743982321152 is an abundant number, since it is smaller than the sum of its proper divisors (180800155323648).

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

70743982321152 is an equidigital number, since it uses as much as digits as its factorization.

70743982321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246993 (or 246958 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 70743982321152 in words is "seventy trillion, seven hundred forty-three billion, nine hundred eighty-two million, three hundred twenty-one thousand, one hundred fifty-two".