46201212457920 has 896 divisors, whose sum is σ = 177626340890880. Its totient is φ = 11236854988800.

The previous prime is 46201212457877. The next prime is 46201212457937. The reversal of 46201212457920 is 2975421210264.

46201212457920 is a `hidden beast` number, since 4 + 6 + 20 + 12 + 1 + 24 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7332358770 + ... + 7332365070.

It is an arithmetic number, because the mean of its divisors is an integer number (198243684030).

Almost surely, 2^{46201212457920} is an apocalyptic number.

46201212457920 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 46201212457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88813170445440).

46201212457920 is an abundant number, since it is smaller than the sum of its proper divisors (131425128432960).

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

46201212457920 is a wasteful number, since it uses less digits than its factorization.

46201212457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46201212457920 in words is "forty-six trillion, two hundred one billion, two hundred twelve million, four hundred fifty-seven thousand, nine hundred twenty".