188460280318464 has 960 divisors, whose sum is σ = 690372479047680. Its totient is φ = 48068135976960.

The previous prime is 188460280318463. The next prime is 188460280318469. The reversal of 188460280318464 is 464813082064881.

It is a happy number.

188460280318464 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 60 + 2 + 80 + 31 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (188460280318463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21206283429 + ... + 21206292315.

It is an arithmetic number, because the mean of its divisors is an integer number (719137999008).

Almost surely, 2^{188460280318464} is an apocalyptic number.

188460280318464 is a gapful number since it is divisible by the number (14) 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 188460280318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345186239523840).

188460280318464 is an abundant number, since it is smaller than the sum of its proper divisors (501912198729216).

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

188460280318464 is a wasteful number, since it uses less digits than its factorization.

188460280318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 188460280318464 in words is "one hundred eighty-eight trillion, four hundred sixty billion, two hundred eighty million, three hundred eighteen thousand, four hundred sixty-four".