48427791610464 has 864 divisors, whose sum is σ = 166296836160000. Its totient is φ = 13090922127360.

The previous prime is 48427791610439. The next prime is 48427791610489. The reversal of 48427791610464 is 46401619772484.

48427791610464 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 7 + 7 + 9 + 1 + 610 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (48427791610439) and next prime (48427791610489).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22746730552 + ... + 22746732680.

It is an arithmetic number, because the mean of its divisors is an integer number (192473190000).

Almost surely, 2^{48427791610464} 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 48427791610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83148418080000).

48427791610464 is an abundant number, since it is smaller than the sum of its proper divisors (117869044549536).

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

48427791610464 is a wasteful number, since it uses less digits than its factorization.

48427791610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 48427791610464 in words is "forty-eight trillion, four hundred twenty-seven billion, seven hundred ninety-one million, six hundred ten thousand, four hundred sixty-four".