23148000754560 has 1536 divisors, whose sum is σ = 94612105728000. Its totient is φ = 5337689702400.

The previous prime is 23148000754513. The next prime is 23148000754577. The reversal of 23148000754560 is 6545700084132.

23148000754560 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 80 + 0 + 0 + 7 + 5 + 4 + 560 = 666.

It is a super-2 number, since 2×23148000754560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3824216494 + ... + 3824222546.

It is an arithmetic number, because the mean of its divisors is an integer number (61596423000).

Almost surely, 2^{23148000754560} is an apocalyptic number.

23148000754560 is a gapful number since it is divisible by the number (20) 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 23148000754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47306052864000).

23148000754560 is an abundant number, since it is smaller than the sum of its proper divisors (71464104973440).

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

23148000754560 is a wasteful number, since it uses less digits than its factorization.

23148000754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 23148000754560 in words is "twenty-three trillion, one hundred forty-eight billion, seven hundred fifty-four thousand, five hundred sixty".