387134975860416 has 1344 divisors, whose sum is σ = 1411295552409600. Its totient is φ = 98858890690560.

The previous prime is 387134975860363. The next prime is 387134975860417. The reversal of 387134975860416 is 614068579431783.

387134975860416 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 3 + 4 + 9 + 7 + 5 + 8 + 604 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (387134975860417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186033144496 + ... + 186033146576.

Almost surely, 2^{387134975860416} is an apocalyptic number.

387134975860416 is a gapful number since it is divisible by the number (36) 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 387134975860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705647776204800).

387134975860416 is an abundant number, since it is smaller than the sum of its proper divisors (1024160576549184).

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

387134975860416 is a wasteful number, since it uses less digits than its factorization.

387134975860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 387134975860416 in words is "three hundred eighty-seven trillion, one hundred thirty-four billion, nine hundred seventy-five million, eight hundred sixty thousand, four hundred sixteen".