48076334364100 has 81 divisors (see below), whose sum is σ = 121359629229447. Its totient is φ = 16483148230080.

The previous prime is 48076334364073. The next prime is 48076334364101. The reversal of 48076334364100 is 146343367084.

The square root of 48076334364100 is 6933710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28882262105284 + 19194072258816 = 5374222^2 + 4381104^2 .

It is a super-3 number, since 3×48076334364100³ (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 (49).

It is not an unprimeable number, because it can be changed into a prime (48076334364101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 485310174 + ... + 485409226.

Almost surely, 2^{48076334364100} is an apocalyptic number.

48076334364100 is the 6933710-th square number.

It is an amenable number.

48076334364100 is an abundant number, since it is smaller than the sum of its proper divisors (73283294865347).

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

48076334364100 is an frugal number, since it uses more digits than its factorization.

48076334364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198134 (or 99067 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

48076334364100 divided by its sum of digits (49) gives a square (981149680900 = 990530²).

The spelling of 48076334364100 in words is "forty-eight trillion, seventy-six billion, three hundred thirty-four million, three hundred sixty-four thousand, one hundred".