46741299496320 has 1024 divisors, whose sum is σ = 183228179742720. Its totient is φ = 9979490304000.

The previous prime is 46741299496277. The next prime is 46741299496337. The reversal of 46741299496320 is 2369499214764.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 604267887 + ... + 604345233.

It is an arithmetic number, because the mean of its divisors is an integer number (178933769280).

Almost surely, 2^{46741299496320} is an apocalyptic number.

46741299496320 is a gapful number since it is divisible by the number (40) 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 46741299496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91614089871360).

46741299496320 is an abundant number, since it is smaller than the sum of its proper divisors (136486880246400).

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

46741299496320 is a wasteful number, since it uses less digits than its factorization.

46741299496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77495 (or 77483 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 46741299496320 in words is "forty-six trillion, seven hundred forty-one billion, two hundred ninety-nine million, four hundred ninety-six thousand, three hundred twenty".