46244400912 has 240 divisors, whose sum is σ = 135100817280. Its totient is φ = 14755571712.

The previous prime is 46244400893. The next prime is 46244400929. The reversal of 46244400912 is 21900444264.

It is a happy number.

46244400912 is a `hidden beast` number, since 4 + 6 + 244 + 400 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118880014 + ... + 118880402.

It is an arithmetic number, because the mean of its divisors is an integer number (562920072).

Almost surely, 2^46244400912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46244400912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67550408640).

46244400912 is an abundant number, since it is smaller than the sum of its proper divisors (88856416368).

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

46244400912 is a wasteful number, since it uses less digits than its factorization.

46244400912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46244400912 in words is "forty-six billion, two hundred forty-four million, four hundred thousand, nine hundred twelve".