12146807157408 has 144 divisors (see below), whose sum is σ = 43065952727616. Its totient is φ = 3155014840320.

The previous prime is 12146807157349. The next prime is 12146807157437. The reversal of 12146807157408 is 80475170864121.

It is a happy number.

12146807157408 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 6 + 80 + 7 + 157 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273850641 + ... + 273894992.

It is an arithmetic number, because the mean of its divisors is an integer number (299069116164).

Almost surely, 2^{12146807157408} is an apocalyptic number.

12146807157408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12146807157408 is an abundant number, since it is smaller than the sum of its proper divisors (30919145570208).

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

12146807157408 is a wasteful number, since it uses less digits than its factorization.

12146807157408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547745667 (or 547745656 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 12146807157408 in words is "twelve trillion, one hundred forty-six billion, eight hundred seven million, one hundred fifty-seven thousand, four hundred eight".