97070046528 has 224 divisors, whose sum is σ = 316817638144. Its totient is φ = 25542770688.

The previous prime is 97070046511. The next prime is 97070046553. The reversal of 97070046528 is 82564007079.

97070046528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7978626 + ... + 7990782.

It is an arithmetic number, because the mean of its divisors is an integer number (1414364456).

Almost surely, 2^97070046528 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 97070046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158408819072).

97070046528 is an abundant number, since it is smaller than the sum of its proper divisors (219747591616).

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

97070046528 is a wasteful number, since it uses less digits than its factorization.

97070046528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 97070046528 in words is "ninety-seven billion, seventy million, forty-six thousand, five hundred twenty-eight".