23014077382800 has 480 divisors, whose sum is σ = 94132200431360. Its totient is φ = 5231294668800.

The previous prime is 23014077382757. The next prime is 23014077382819. The reversal of 23014077382800 is 828377041032.

23014077382800 is a `hidden beast` number, since 23 + 0 + 1 + 407 + 73 + 82 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12842664 + ... + 14524536.

Almost surely, 2^{23014077382800} is an apocalyptic number.

23014077382800 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 23014077382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47066100215680).

23014077382800 is an abundant number, since it is smaller than the sum of its proper divisors (71118123048560).

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

23014077382800 is a wasteful number, since it uses less digits than its factorization.

23014077382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682088 (or 1682071 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 23014077382800 in words is "twenty-three trillion, fourteen billion, seventy-seven million, three hundred eighty-two thousand, eight hundred".