48740657314734 has 384 divisors, whose sum is σ = 141783392424960. Its totient is φ = 11712431001600.

The previous prime is 48740657314693. The next prime is 48740657314759. The reversal of 48740657314734 is 43741375604784.

48740657314734 is a `hidden beast` number, since 4 + 8 + 7 + 40 + 6 + 573 + 14 + 7 + 3 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2456305017 + ... + 2456324859.

It is an arithmetic number, because the mean of its divisors is an integer number (369227584440).

Almost surely, 2^{48740657314734} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48740657314734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70891696212480).

48740657314734 is an abundant number, since it is smaller than the sum of its proper divisors (93042735110226).

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

48740657314734 is a wasteful number, since it uses less digits than its factorization.

48740657314734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21656 (or 21653 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 48740657314734 in words is "forty-eight trillion, seven hundred forty billion, six hundred fifty-seven million, three hundred fourteen thousand, seven hundred thirty-four".