45136073493800 has 192 divisors, whose sum is σ = 105740469081600. Its totient is φ = 17917653600000.

The previous prime is 45136073493799. The next prime is 45136073493811. The reversal of 45136073493800 is 839437063154.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15831662375 + ... + 15831665225.

It is an arithmetic number, because the mean of its divisors is an integer number (550731609800).

Almost surely, 2^{45136073493800} is an apocalyptic number.

45136073493800 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 45136073493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52870234540800).

45136073493800 is an abundant number, since it is smaller than the sum of its proper divisors (60604395587800).

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

45136073493800 is a wasteful number, since it uses less digits than its factorization.

45136073493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 45136073493800 in words is "forty-five trillion, one hundred thirty-six billion, seventy-three million, four hundred ninety-three thousand, eight hundred".