46557214139040 has 192 divisors, whose sum is σ = 162375392309760. Its totient is φ = 11118140605440.

The previous prime is 46557214138999. The next prime is 46557214139081. The reversal of 46557214139040 is 4093141275564.

46557214139040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46557214138999) and next prime (46557214139081).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65449630 + ... + 66157149.

It is an arithmetic number, because the mean of its divisors is an integer number (845705168280).

Almost surely, 2^{46557214139040} is an apocalyptic number.

46557214139040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46557214139040 is an abundant number, since it is smaller than the sum of its proper divisors (115818178170720).

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

46557214139040 is a wasteful number, since it uses less digits than its factorization.

46557214139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131606875 (or 131606867 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 46557214139040 in words is "forty-six trillion, five hundred fifty-seven billion, two hundred fourteen million, one hundred thirty-nine thousand, forty".