45334177873920 has 1280 divisors, whose sum is σ = 177544356010560. Its totient is φ = 10999037952000.

The previous prime is 45334177873913. The next prime is 45334177873951. The reversal of 45334177873920 is 2937877143354.

45334177873920 is a `hidden beast` number, since 4 + 5 + 334 + 177 + 87 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12249168070 + ... + 12249171770.

Almost surely, 2^{45334177873920} is an apocalyptic number.

45334177873920 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 45334177873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88772178005280).

45334177873920 is an abundant number, since it is smaller than the sum of its proper divisors (132210178136640).

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

45334177873920 is an equidigital number, since it uses as much as digits as its factorization.

45334177873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 45334177873920 in words is "forty-five trillion, three hundred thirty-four billion, one hundred seventy-seven million, eight hundred seventy-three thousand, nine hundred twenty".