46586379090944 has 176 divisors, whose sum is σ = 117411305898240. Its totient is φ = 17946595983360.

The previous prime is 46586379090941. The next prime is 46586379090949. The reversal of 46586379090944 is 44909097368564.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×46586379090944² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46586379090941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3698159 + ... + 10336785.

Almost surely, 2^{46586379090944} is an apocalyptic number.

46586379090944 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 46586379090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705652949120).

46586379090944 is an abundant number, since it is smaller than the sum of its proper divisors (70824926807296).

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

46586379090944 is a wasteful number, since it uses less digits than its factorization.

46586379090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638754 (or 6638736 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 74.

The spelling of 46586379090944 in words is "forty-six trillion, five hundred eighty-six billion, three hundred seventy-nine million, ninety thousand, nine hundred forty-four".