653414652000 has 1728 divisors, whose sum is σ = 2795192172864. Its totient is φ = 142848000000.

The previous prime is 653414651951. The next prime is 653414652013. The reversal of 653414652000 is 256414356.

653414652000 is a `hidden beast` number, since 6 + 53 + 41 + 46 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×653414652000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6469451950 + ... + 6469452050.

It is an arithmetic number, because the mean of its divisors is an integer number (1617588063).

Almost surely, 2^653414652000 is an apocalyptic number.

653414652000 is a gapful number since it is divisible by the number (60) 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 653414652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397596086432).

653414652000 is an abundant number, since it is smaller than the sum of its proper divisors (2141777520864).

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

653414652000 is a wasteful number, since it uses less digits than its factorization.

653414652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 653414652000 in words is "six hundred fifty-three billion, four hundred fourteen million, six hundred fifty-two thousand".