23505763269408 has 384 divisors, whose sum is σ = 78650268641280. Its totient is φ = 5983998197760.

The previous prime is 23505763269407. The next prime is 23505763269409. The reversal of 23505763269408 is 80496236750532.

It is an interprime number because it is at equal distance from previous prime (23505763269407) and next prime (23505763269409).

It is not an unprimeable number, because it can be changed into a prime (23505763269403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315345103 + ... + 315419633.

It is an arithmetic number, because the mean of its divisors is an integer number (204818407920).

Almost surely, 2^{23505763269408} is an apocalyptic number.

23505763269408 is a gapful number since it is divisible by the number (28) 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 23505763269408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39325134320640).

23505763269408 is an abundant number, since it is smaller than the sum of its proper divisors (55144505371872).

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

23505763269408 is a wasteful number, since it uses less digits than its factorization.

23505763269408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76040 (or 76032 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 23505763269408 in words is "twenty-three trillion, five hundred five billion, seven hundred sixty-three million, two hundred sixty-nine thousand, four hundred eight".