153400006046400 has 84 divisors (see below), whose sum is σ = 503279853186312. Its totient is φ = 40906668277760.

The previous prime is 153400006046369. The next prime is 153400006046401. The reversal of 153400006046400 is 4640600004351.

It is not an unprimeable number, because it can be changed into a prime (153400006046401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15979162497 + ... + 15979172096.

Almost surely, 2^{153400006046400} is an apocalyptic number.

153400006046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153400006046400 is an abundant number, since it is smaller than the sum of its proper divisors (349879847139912).

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

153400006046400 is a wasteful number, since it uses less digits than its factorization.

153400006046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31958334618 (or 31958334603 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 153400006046400 in words is "one hundred fifty-three trillion, four hundred billion, six million, forty-six thousand, four hundred".