8151424704900 has 135 divisors (see below), whose sum is σ = 26424531554421. Its totient is φ = 2173644732960.

The previous prime is 8151424704847. The next prime is 8151424704947. The reversal of 8151424704900 is 94074241518.

The square root of 8151424704900 is 2855070.

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

8151424704900 is a `hidden beast` number, since 8 + 1 + 51 + 42 + 4 + 70 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2934512893764 + 5216911811136 = 1713042^2 + 2284056^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 256940439 + ... + 256972161.

Almost surely, 2^{8151424704900} is an apocalyptic number.

8151424704900 is the 2855070-th square number.

It is an amenable number.

8151424704900 is an abundant number, since it is smaller than the sum of its proper divisors (18273106849521).

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

8151424704900 is an frugal number, since it uses more digits than its factorization.

8151424704900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63472 (or 31733 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 8151424704900 in words is "eight trillion, one hundred fifty-one billion, four hundred twenty-four million, seven hundred four thousand, nine hundred".