48073137436400 has 120 divisors (see below), whose sum is σ = 118102190715600. Its totient is φ = 18798895411200.

The previous prime is 48073137436399. The next prime is 48073137436403. The reversal of 48073137436400 is 463473137084.

It is a super-3 number, since 3×48073137436400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073137436403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1355465 + ... + 9898664.

It is an arithmetic number, because the mean of its divisors is an integer number (984184922630).

Almost surely, 2^{48073137436400} is an apocalyptic number.

48073137436400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48073137436400 is an abundant number, since it is smaller than the sum of its proper divisors (70029053279200).

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

48073137436400 is a wasteful number, since it uses less digits than its factorization.

48073137436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11254387 (or 11254376 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 50.

The spelling of 48073137436400 in words is "forty-eight trillion, seventy-three billion, one hundred thirty-seven million, four hundred thirty-six thousand, four hundred".