48083545692900 has 135 divisors (see below), whose sum is σ = 155869882217049. Its totient is φ = 12822112429920.

The previous prime is 48083545692869. The next prime is 48083545692929. The reversal of 48083545692900 is 929654538084.

The square root of 48083545692900 is 6934230.

It is a perfect power (a square), and thus also a powerful number.

48083545692900 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 3 + 5 + 456 + 92 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17310076449444 + 30773469243456 = 4160538^2 + 5547384^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-3 number, since 3×48083545692900³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 624042177 + ... + 624119223.

Almost surely, 2^{48083545692900} is an apocalyptic number.

48083545692900 is the 6934230-th square number.

It is an amenable number.

48083545692900 is an abundant number, since it is smaller than the sum of its proper divisors (107786336524149).

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

48083545692900 is an frugal number, since it uses more digits than its factorization.

48083545692900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154120 (or 77057 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 48083545692900 in words is "forty-eight trillion, eighty-three billion, five hundred forty-five million, six hundred ninety-two thousand, nine hundred".