387156908182464 has 672 divisors, whose sum is σ = 1284588841536000. Its totient is φ = 109202819604480.

The previous prime is 387156908182459. The next prime is 387156908182477. The reversal of 387156908182464 is 464281809651783.

387156908182464 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 5 + 6 + 9 + 0 + 81 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×387156908182464² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 387156908182392 and 387156908182401.

It is a congruent number.

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, 58491748947 + ... + 58491755565.

It is an arithmetic number, because the mean of its divisors is an integer number (1911590538000).

It is a 1-persistent number, because it is pandigital, but 2⋅387156908182464 = 774313816364928 is not.

Almost surely, 2^{387156908182464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387156908182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642294420768000).

387156908182464 is an abundant number, since it is smaller than the sum of its proper divisors (897431933353536).

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

387156908182464 is a wasteful number, since it uses less digits than its factorization.

387156908182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 387156908182464 in words is "three hundred eighty-seven trillion, one hundred fifty-six billion, nine hundred eight million, one hundred eighty-two thousand, four hundred sixty-four".