654413600016 has 480 divisors, whose sum is σ = 2142529833600. Its totient is φ = 184272076800.

The previous prime is 654413599981. The next prime is 654413600021. The reversal of 654413600016 is 610006314456.

It is a happy number.

654413600016 is a `hidden beast` number, since 6 + 5 + 4 + 41 + 3 + 600 + 0 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846589006 + ... + 846589778.

It is an arithmetic number, because the mean of its divisors is an integer number (4463603820).

Almost surely, 2^654413600016 is an apocalyptic number.

654413600016 is a gapful number since it is divisible by the number (66) 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 654413600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071264916800).

654413600016 is an abundant number, since it is smaller than the sum of its proper divisors (1488116233584).

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

654413600016 is a wasteful number, since it uses less digits than its factorization.

654413600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 654413600016 in words is "six hundred fifty-four billion, four hundred thirteen million, six hundred thousand, sixteen".