23454686661120 has 2560 divisors, whose sum is σ = 103555292037120. Its totient is φ = 4952752128000.

The previous prime is 23454686661103. The next prime is 23454686661149. The reversal of 23454686661120 is 2116668645432.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12562766427 + ... + 12562768293.

It is an arithmetic number, because the mean of its divisors is an integer number (40451285952).

Almost surely, 2^{23454686661120} is an apocalyptic number.

23454686661120 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 23454686661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51777646018560).

23454686661120 is an abundant number, since it is smaller than the sum of its proper divisors (80100605376000).

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

23454686661120 is a wasteful number, since it uses less digits than its factorization.

23454686661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 23454686661120 in words is "twenty-three trillion, four hundred fifty-four billion, six hundred eighty-six million, six hundred sixty-one thousand, one hundred twenty".