46377155177364 has 24 divisors (see below), whose sum is σ = 118050940451808. Its totient is φ = 14053683387040.

The previous prime is 46377155177323. The next prime is 46377155177383.

46377155177364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46377155177295 and 46377155177304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175671042207 + ... + 175671042470.

It is an arithmetic number, because the mean of its divisors is an integer number (4918789185492).

Almost surely, 2^{46377155177364} is an apocalyptic number.

46377155177364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46377155177364 is an abundant number, since it is smaller than the sum of its proper divisors (71673785274444).

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

46377155177364 is a wasteful number, since it uses less digits than its factorization.

46377155177364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351342084695 (or 351342084693 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 66.

The spelling of 46377155177364 in words is "forty-six trillion, three hundred seventy-seven billion, one hundred fifty-five million, one hundred seventy-seven thousand, three hundred sixty-four".