45341959936000 has 1536 divisors, whose sum is σ = 148361601024000. Its totient is φ = 13430292480000.

The previous prime is 45341959935991. The next prime is 45341959936001. The reversal of 45341959936000 is 63995914354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45341959936001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39393535425 + ... + 39393536575.

It is an arithmetic number, because the mean of its divisors is an integer number (96589584000).

Almost surely, 2^{45341959936000} is an apocalyptic number.

45341959936000 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 45341959936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74180800512000).

45341959936000 is an abundant number, since it is smaller than the sum of its proper divisors (103019641088000).

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

45341959936000 is a wasteful number, since it uses less digits than its factorization.

45341959936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 58.

The spelling of 45341959936000 in words is "forty-five trillion, three hundred forty-one billion, nine hundred fifty-nine million, nine hundred thirty-six thousand".