8958934949904 has 675 divisors, whose sum is σ = 27895433802951. Its totient is φ = 2775725729280.

The previous prime is 8958934949869. The next prime is 8958934949911. The reversal of 8958934949904 is 4099494398598.

The square root of 8958934949904 is 2993148.

It is a perfect power (a square), and thus also a powerful number.

8958934949904 is a `hidden beast` number, since 8 + 9 + 5 + 89 + 3 + 49 + 499 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2688117644304 + 6270817305600 = 1639548^2 + 2504160^2 .

It is a super-2 number, since 2×8958934949904² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 146867786034 + ... + 146867786094.

Almost surely, 2^{8958934949904} is an apocalyptic number.

8958934949904 is the 2993148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8958934949904

8958934949904 is an abundant number, since it is smaller than the sum of its proper divisors (18936498853047).

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

8958934949904 is an equidigital number, since it uses as much as digits as its factorization.

8958934949904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

Multiplying 8958934949904 by its sum of digits (81), we get a square (725673730942224 = 26938332²).

8958934949904 divided by its sum of digits (81) gives a square (110604135184 = 332572²).

The spelling of 8958934949904 in words is "eight trillion, nine hundred fifty-eight billion, nine hundred thirty-four million, nine hundred forty-nine thousand, nine hundred four".