15120633645 has 36 divisors (see below), whose sum is σ = 28380280500. Its totient is φ = 7444000512.

The previous prime is 15120633617. The next prime is 15120633653. The reversal of 15120633645 is 54633602151.

15120633645 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 0 + 6 + 3 + 3 + 645 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4737431241 + 10383202404 = 68829^2 + 101898^2 .

It is not a de Polignac number, because 15120633645 - 2¹⁴ = 15120617261 is a prime.

It is a super-3 number, since 3×15120633645³ (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 986520 + ... + 1001729.

It is an arithmetic number, because the mean of its divisors is an integer number (788341125).

Almost surely, 2^15120633645 is an apocalyptic number.

15120633645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15120633645 is a deficient number, since it is larger than the sum of its proper divisors (13259646855).

15120633645 is a wasteful number, since it uses less digits than its factorization.

15120633645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988286 (or 1988270 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 15120633645 in words is "fifteen billion, one hundred twenty million, six hundred thirty-three thousand, six hundred forty-five".