45930746880 has 396 divisors, whose sum is σ = 169110243900. Its totient is φ = 11524374528.

The previous prime is 45930746867. The next prime is 45930746881. The reversal of 45930746880 is 8864703954.

45930746880 is a `hidden beast` number, since 4 + 593 + 0 + 7 + 46 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 796594176 + 45134152704 = 28224^2 + 212448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45930746881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13315396 + ... + 13318844.

Almost surely, 2^45930746880 is an apocalyptic number.

45930746880 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 45930746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84555121950).

45930746880 is an abundant number, since it is smaller than the sum of its proper divisors (123179497020).

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

45930746880 is a wasteful number, since it uses less digits than its factorization.

45930746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 4593074 and 6880, that added together give a palindrome (4599954).

The spelling of 45930746880 in words is "forty-five billion, nine hundred thirty million, seven hundred forty-six thousand, eight hundred eighty".