45611945152000 has 160 divisors (see below), whose sum is σ = 113794843878144. Its totient is φ = 18235376640000.

The previous prime is 45611945151979. The next prime is 45611945152019. The reversal of 45611945152000 is 25154911654.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124681354 + ... + 125046646.

Almost surely, 2^{45611945152000} is an apocalyptic number.

45611945152000 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 45611945152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56897421939072).

45611945152000 is an abundant number, since it is smaller than the sum of its proper divisors (68182898726144).

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

45611945152000 is an equidigital number, since it uses as much as digits as its factorization.

45611945152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367277 (or 367251 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 45611945152000 in words is "forty-five trillion, six hundred eleven billion, nine hundred forty-five million, one hundred fifty-two thousand".