46377248141004 has 96 divisors (see below), whose sum is σ = 118652586393600. Its totient is φ = 13982124974400.

The previous prime is 46377248140981. The next prime is 46377248141027. The reversal of 46377248141004 is 40014184277364.

46377248141004 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 (46377248140981) and next prime (46377248141027).

It is a super-2 number, since 2×46377248141004² (a number of 28 digits) contains 22 as substring.

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, 441538837 + ... + 441643859.

It is an arithmetic number, because the mean of its divisors is an integer number (1235964441600).

Almost surely, 2^{46377248141004} is an apocalyptic number.

46377248141004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46377248141004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59326293196800).

46377248141004 is an abundant number, since it is smaller than the sum of its proper divisors (72275338252596).

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

46377248141004 is a wasteful number, since it uses less digits than its factorization.

46377248141004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122051 (or 122049 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 46377248141004 in words is "forty-six trillion, three hundred seventy-seven billion, two hundred forty-eight million, one hundred forty-one thousand, four".