48189067831296 has 576 divisors, whose sum is σ = 166527000057600. Its totient is φ = 13729028898816.

The previous prime is 48189067831279. The next prime is 48189067831309. The reversal of 48189067831296 is 69213876098184.

48189067831296 is a `hidden beast` number, since 4 + 81 + 8 + 90 + 67 + 8 + 312 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 956429721 + ... + 956480103.

It is an arithmetic number, because the mean of its divisors is an integer number (289109375100).

Almost surely, 2^{48189067831296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48189067831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83263500028800).

48189067831296 is an abundant number, since it is smaller than the sum of its proper divisors (118337932226304).

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

48189067831296 is a wasteful number, since it uses less digits than its factorization.

48189067831296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50781 (or 50748 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 48189067831296 in words is "forty-eight trillion, one hundred eighty-nine billion, sixty-seven million, eight hundred thirty-one thousand, two hundred ninety-six".