654314049792 has 1080 divisors, whose sum is σ = 2302843656960. Its totient is φ = 183996334080.

The previous prime is 654314049791. The next prime is 654314049817. The reversal of 654314049792 is 297940413456.

654314049792 is a `hidden beast` number, since 6 + 5 + 4 + 3 + 140 + 497 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (654314049791) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2064082018 + ... + 2064082334.

Almost surely, 2^654314049792 is an apocalyptic number.

654314049792 is a gapful number since it is divisible by the number (62) 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 654314049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151421828480).

654314049792 is an abundant number, since it is smaller than the sum of its proper divisors (1648529607168).

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

654314049792 is a wasteful number, since it uses less digits than its factorization.

654314049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 654314049792 in words is "six hundred fifty-four billion, three hundred fourteen million, forty-nine thousand, seven hundred ninety-two".