48076972267536 has 405 divisors, whose sum is σ = 146676977865093. Its totient is φ = 14697343918080.

The previous prime is 48076972267501. The next prime is 48076972267579. The reversal of 48076972267536 is 63576227967084.

The square root of 48076972267536 is 6933756.

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

48076972267536 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 6 + 9 + 7 + 22 + 67 + 536 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 33073310883600 + 15003661383936 = 5750940^2 + 3873456^2 .

It is a super-3 number, since 3×48076972267536³ (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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 57993934770 + ... + 57993935598.

Almost surely, 2^{48076972267536} is an apocalyptic number.

48076972267536 is the 6933756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48076972267536

48076972267536 is an abundant number, since it is smaller than the sum of its proper divisors (98600005597557).

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

48076972267536 is an equidigital number, since it uses as much as digits as its factorization.

48076972267536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 48076972267536 in words is "forty-eight trillion, seventy-six billion, nine hundred seventy-two million, two hundred sixty-seven thousand, five hundred thirty-six".