5104148754432 has 1664 divisors, whose sum is σ = 18651973795840. Its totient is φ = 1203948748800.

The previous prime is 5104148754407. The next prime is 5104148754433. The reversal of 5104148754432 is 2344578414015.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5104148754433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33802309557 + ... + 33802309707.

Almost surely, 2^{5104148754432} is an apocalyptic number.

5104148754432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104148754432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325986897920).

5104148754432 is an abundant number, since it is smaller than the sum of its proper divisors (13547825041408).

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

5104148754432 is a wasteful number, since it uses less digits than its factorization.

5104148754432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 5104148754432 in words is "five trillion, one hundred four billion, one hundred forty-eight million, seven hundred fifty-four thousand, four hundred thirty-two".