70981341984 has 384 divisors, whose sum is σ = 244496448000. Its totient is φ = 20273524992.

The previous prime is 70981341983. The next prime is 70981342031. The reversal of 70981341984 is 48914318907.

70981341984 is a `hidden beast` number, since 70 + 9 + 81 + 3 + 419 + 84 = 666.

It is a super-2 number, since 2×70981341984² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70981341984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70981341983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24003034 + ... + 24005990.

It is an arithmetic number, because the mean of its divisors is an integer number (636709500).

Almost surely, 2^70981341984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70981341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122248224000).

70981341984 is an abundant number, since it is smaller than the sum of its proper divisors (173515106016).

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

70981341984 is an frugal number, since it uses more digits than its factorization.

70981341984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 70981341984 in words is "seventy billion, nine hundred eighty-one million, three hundred forty-one thousand, nine hundred eighty-four".