1146156003216 has 120 divisors (see below), whose sum is σ = 3666112845824. Its totient is φ = 327452336640.

The previous prime is 1146156003193. The next prime is 1146156003233. The reversal of 1146156003216 is 6123006516411.

1146156003216 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 5 + 600 + 32 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23327796 + ... + 23376876.

Almost surely, 2^{1146156003216} is an apocalyptic number.

1146156003216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1146156003216 is an abundant number, since it is smaller than the sum of its proper divisors (2519956842608).

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

1146156003216 is a wasteful number, since it uses less digits than its factorization.

1146156003216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72269 (or 72260 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1146156003216 in words is "one trillion, one hundred forty-six billion, one hundred fifty-six million, three thousand, two hundred sixteen".