45901437120 has 1008 divisors, whose sum is σ = 205065928704. Its totient is φ = 9215078400.

The previous prime is 45901437119. The next prime is 45901437121. The reversal of 45901437120 is 2173410954.

45901437120 is a `hidden beast` number, since 4 + 590 + 1 + 43 + 7 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (45901437119) and next prime (45901437121).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45901437121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 75619857 + ... + 75620463.

Almost surely, 2^45901437120 is an apocalyptic number.

45901437120 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 45901437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102532964352).

45901437120 is an abundant number, since it is smaller than the sum of its proper divisors (159164491584).

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

45901437120 is a wasteful number, since it uses less digits than its factorization.

45901437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 45901437120 in words is "forty-five billion, nine hundred one million, four hundred thirty-seven thousand, one hundred twenty".