54214139472000 has 128 divisors (see below), whose sum is σ = 179719872508800. Its totient is φ = 14457103846400.

The previous prime is 54214139471959. The next prime is 54214139472043. The reversal of 54214139472000 is 27493141245.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×54214139472000³ (a number of 42 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 564682620 + ... + 564778619.

It is an arithmetic number, because the mean of its divisors is an integer number (1404061503975).

Almost surely, 2^{54214139472000} is an apocalyptic number.

54214139472000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54214139472000 is an abundant number, since it is smaller than the sum of its proper divisors (125505733036800).

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

54214139472000 is a wasteful number, since it uses less digits than its factorization.

54214139472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129461271 (or 1129461249 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 54214139472000 in words is "fifty-four trillion, two hundred fourteen billion, one hundred thirty-nine million, four hundred seventy-two thousand".