70431345504 has 288 divisors, whose sum is σ = 227045145600. Its totient is φ = 21345679872.

The previous prime is 70431345503. The next prime is 70431345533. The reversal of 70431345504 is 40554313407.

70431345504 is a `hidden beast` number, since 70 + 4 + 3 + 1 + 34 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70431345503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6767697 + ... + 6778095.

It is an arithmetic number, because the mean of its divisors is an integer number (788351200).

Almost surely, 2^70431345504 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 70431345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113522572800).

70431345504 is an abundant number, since it is smaller than the sum of its proper divisors (156613800096).

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

70431345504 is a wasteful number, since it uses less digits than its factorization.

70431345504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 70431345504 in words is "seventy billion, four hundred thirty-one million, three hundred forty-five thousand, five hundred four".