4514372311680 has 2304 divisors, whose sum is σ = 21291630796800. Its totient is φ = 859465728000.

The previous prime is 4514372311597. The next prime is 4514372311693. The reversal of 4514372311680 is 861132734154.

4514372311680 is a `hidden beast` number, since 4 + 5 + 1 + 437 + 23 + 116 + 80 = 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 287 ways as a sum of consecutive naturals, for example, 2873565295 + ... + 2873566865.

It is an arithmetic number, because the mean of its divisors is an integer number (9241159200).

Almost surely, 2^{4514372311680} is an apocalyptic number.

4514372311680 is a gapful number since it is divisible by the number (40) 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 4514372311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10645815398400).

4514372311680 is an abundant number, since it is smaller than the sum of its proper divisors (16777258485120).

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

4514372311680 is a wasteful number, since it uses less digits than its factorization.

4514372311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4514372311680 in words is "four trillion, five hundred fourteen billion, three hundred seventy-two million, three hundred eleven thousand, six hundred eighty".