5001654456 has 192 divisors, whose sum is σ = 14667307200. Its totient is φ = 1534132224.

The previous prime is 5001654443. The next prime is 5001654481. The reversal of 5001654456 is 6544561005.

5001654456 is a `hidden beast` number, since 50 + 0 + 16 + 544 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5001654456.

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, 12228780 + ... + 12229188.

It is an arithmetic number, because the mean of its divisors is an integer number (76392225).

Almost surely, 2^5001654456 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 5001654456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333653600).

5001654456 is an abundant number, since it is smaller than the sum of its proper divisors (9665652744).

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

5001654456 is a wasteful number, since it uses less digits than its factorization.

5001654456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5001654456 is about 70722.3759216275. The cubic root of 5001654456 is about 1710.1645312089.

The spelling of 5001654456 in words is "five billion, one million, six hundred fifty-four thousand, four hundred fifty-six".