15077145384900 has 243 divisors, whose sum is σ = 47522463797991. Its totient is φ = 3998237489280.

The previous prime is 15077145384893. The next prime is 15077145384901. The reversal of 15077145384900 is 948354177051.

The square root of 15077145384900 is 3882930.

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

15077145384900 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 7 + 14 + 538 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145165572036 + 14931979812864 = 381006^2 + 3864192^2 .

It is a super-2 number, since 2×15077145384900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15077145384901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40421301114 + ... + 40421301486.

Almost surely, 2^{15077145384900} is an apocalyptic number.

15077145384900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15077145384900 is the 3882930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15077145384900

15077145384900 is an abundant number, since it is smaller than the sum of its proper divisors (32445318413091).

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

15077145384900 is an equidigital number, since it uses as much as digits as its factorization.

15077145384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 15077145384900 in words is "fifteen trillion, seventy-seven billion, one hundred forty-five million, three hundred eighty-four thousand, nine hundred".