654002148438 has 384 divisors, whose sum is σ = 1673823191040. Its totient is φ = 190294272000.

The previous prime is 654002148389. The next prime is 654002148479. The reversal of 654002148438 is 834841200456.

654002148438 is a `hidden beast` number, since 6 + 540 + 0 + 21 + 4 + 84 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 654002148393 and 654002148402.

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, 1418659528 + ... + 1418659988.

It is an arithmetic number, because the mean of its divisors is an integer number (4358914560).

Almost surely, 2^654002148438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654002148438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836911595520).

654002148438 is an abundant number, since it is smaller than the sum of its proper divisors (1019821042602).

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

654002148438 is a wasteful number, since it uses less digits than its factorization.

654002148438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 654002148438 in words is "six hundred fifty-four billion, two million, one hundred forty-eight thousand, four hundred thirty-eight".