8970656449104 has 320 divisors, whose sum is σ = 30089064652800. Its totient is φ = 2505557463552.

The previous prime is 8970656448991. The next prime is 8970656449133. The reversal of 8970656449104 is 4019446560798.

8970656449104 is a `hidden beast` number, since 8 + 97 + 0 + 6 + 56 + 4 + 491 + 0 + 4 = 666.

It is a super-2 number, since 2×8970656449104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122051214 + ... + 122124690.

It is an arithmetic number, because the mean of its divisors is an integer number (94028327040).

Almost surely, 2^{8970656449104} is an apocalyptic number.

8970656449104 is a gapful number since it is divisible by the number (84) 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 8970656449104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044532326400).

8970656449104 is an abundant number, since it is smaller than the sum of its proper divisors (21118408203696).

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

8970656449104 is a wasteful number, since it uses less digits than its factorization.

8970656449104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74407 (or 74395 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8970656449104 in words is "eight trillion, nine hundred seventy billion, six hundred fifty-six million, four hundred forty-nine thousand, one hundred four".