46358439994944 has 1344 divisors, whose sum is σ = 177124658135040. Its totient is φ = 11626326835200.

The previous prime is 46358439994943. The next prime is 46358439995009. The reversal of 46358439994944 is 44949993485364.

46358439994944 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 8 + 4 + 39 + 99 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (46358439994943) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26905652067 + ... + 26905653789.

It is an arithmetic number, because the mean of its divisors is an integer number (131789180160).

Almost surely, 2^{46358439994944} is an apocalyptic number.

46358439994944 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 46358439994944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88562329067520).

46358439994944 is an abundant number, since it is smaller than the sum of its proper divisors (130766218140096).

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

46358439994944 is a wasteful number, since it uses less digits than its factorization.

46358439994944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2370 counting only the distinct ones).

The product of its digits is 14511882240, while the sum is 81.

The spelling of 46358439994944 in words is "forty-six trillion, three hundred fifty-eight billion, four hundred thirty-nine million, nine hundred ninety-four thousand, nine hundred forty-four".