46920758544 has 225 divisors, whose sum is σ = 149543671431. Its totient is φ = 14192418240.

The previous prime is 46920758531. The next prime is 46920758551. The reversal of 46920758544 is 44585702964.

The square root of 46920758544 is 216612.

It is a perfect power (a square), and thus also a powerful number.

46920758544 is a `hidden beast` number, since 4 + 6 + 9 + 20 + 75 + 8 + 544 = 666.

46920758544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85778079 + ... + 85778625.

Almost surely, 2^46920758544 is an apocalyptic number.

46920758544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

46920758544 is the 216612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46920758544

46920758544 is an abundant number, since it is smaller than the sum of its proper divisors (102622912887).

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

46920758544 is an equidigital number, since it uses as much as digits as its factorization.

46920758544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 46920758544 in words is "forty-six billion, nine hundred twenty million, seven hundred fifty-eight thousand, five hundred forty-four".