387246092943552 has 896 divisors, whose sum is σ = 1174986853171200. Its totient is φ = 111938568192000.

The previous prime is 387246092943407. The next prime is 387246092943553. The reversal of 387246092943552 is 255349290642783.

It is a super-2 number, since 2×387246092943552² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (387246092943553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45446081052 + ... + 45446089572.

Almost surely, 2^{387246092943552} is an apocalyptic number.

387246092943552 is a gapful number since it is divisible by the number (32) 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 387246092943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587493426585600).

387246092943552 is an abundant number, since it is smaller than the sum of its proper divisors (787740760227648).

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

387246092943552 is a wasteful number, since it uses less digits than its factorization.

387246092943552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 69.

The spelling of 387246092943552 in words is "three hundred eighty-seven trillion, two hundred forty-six billion, ninety-two million, nine hundred forty-three thousand, five hundred fifty-two".