51849516546432 has 384 divisors, whose sum is σ = 163395970657920. Its totient is φ = 15651250790400.

The previous prime is 51849516546427. The next prime is 51849516546479. The reversal of 51849516546432 is 23464561594815.

51849516546432 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 9 + 5 + 165 + 464 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 51849516546432.

It is a congruent number.

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, 8873780503 + ... + 8873786345.

It is an arithmetic number, because the mean of its divisors is an integer number (425510340255).

Almost surely, 2^{51849516546432} 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 51849516546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81697985328960).

51849516546432 is an abundant number, since it is smaller than the sum of its proper divisors (111546454111488).

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

51849516546432 is a wasteful number, since it uses less digits than its factorization.

51849516546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 8447 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 51849516546432 in words is "fifty-one trillion, eight hundred forty-nine billion, five hundred sixteen million, five hundred forty-six thousand, four hundred thirty-two".