653381074944 has 532 divisors, whose sum is σ = 2117976873936. Its totient is φ = 200275918848.

The previous prime is 653381074861. The next prime is 653381074949. The reversal of 653381074944 is 449470183356.

653381074944 is a `hidden beast` number, since 6 + 533 + 8 + 10 + 7 + 4 + 94 + 4 = 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 (653381074949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2484338557 + ... + 2484338819.

Almost surely, 2^653381074944 is an apocalyptic number.

653381074944 is a gapful number since it is divisible by the number (64) 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 653381074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058988436968).

653381074944 is an abundant number, since it is smaller than the sum of its proper divisors (1464595798992).

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

653381074944 is an frugal number, since it uses more digits than its factorization.

653381074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 653381074944 in words is "six hundred fifty-three billion, three hundred eighty-one million, seventy-four thousand, nine hundred forty-four".