46390986720 has 864 divisors, whose sum is σ = 184168857600. Its totient is φ = 10597257216.

The previous prime is 46390986581. The next prime is 46390986731. The reversal of 46390986720 is 2768909364.

It is a happy number.

46390986720 is a `hidden beast` number, since 463 + 90 + 98 + 6 + 7 + 2 + 0 = 666.

46390986720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365283297 + ... + 365283423.

It is an arithmetic number, because the mean of its divisors is an integer number (213158400).

Almost surely, 2^46390986720 is an apocalyptic number.

46390986720 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 46390986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92084428800).

46390986720 is an abundant number, since it is smaller than the sum of its proper divisors (137777870880).

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

46390986720 is a wasteful number, since it uses less digits than its factorization.

46390986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 46390986720 in words is "forty-six billion, three hundred ninety million, nine hundred eighty-six thousand, seven hundred twenty".