385054656589152 has 768 divisors, whose sum is σ = 1283463711129600. Its totient is φ = 111172564039680.

The previous prime is 385054656589117. The next prime is 385054656589181. The reversal of 385054656589152 is 251985656450583.

385054656589152 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 5 + 4 + 6 + 565 + 8 + 9 + 1 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64966195213 + ... + 64966201139.

It is an arithmetic number, because the mean of its divisors is an integer number (1671176707200).

Almost surely, 2^{385054656589152} is an apocalyptic number.

385054656589152 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 385054656589152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641731855564800).

385054656589152 is an abundant number, since it is smaller than the sum of its proper divisors (898409054540448).

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

385054656589152 is a wasteful number, since it uses less digits than its factorization.

385054656589152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 1555200000, while the sum is 72.

The spelling of 385054656589152 in words is "three hundred eighty-five trillion, fifty-four billion, six hundred fifty-six million, five hundred eighty-nine thousand, one hundred fifty-two".