385629974172000 has 768 divisors, whose sum is σ = 1407779388288000. Its totient is φ = 102535663564800.

The previous prime is 385629974171989. The next prime is 385629974172041. The reversal of 385629974172000 is 271479926583.

385629974172000 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 2 + 9 + 9 + 7 + 417 + 200 + 0 = 666.

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, 98299762039 + ... + 98299765961.

It is an arithmetic number, because the mean of its divisors is an integer number (1833046078500).

It is a 1-persistent number, because it is pandigital, but 2⋅385629974172000 = 771259948344000 is not.

Almost surely, 2^{385629974172000} is an apocalyptic number.

385629974172000 is a gapful number since it is divisible by the number (30) 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 385629974172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703889694144000).

385629974172000 is an abundant number, since it is smaller than the sum of its proper divisors (1022149414116000).

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

385629974172000 is a wasteful number, since it uses less digits than its factorization.

385629974172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 385629974172000 in words is "three hundred eighty-five trillion, six hundred twenty-nine billion, nine hundred seventy-four million, one hundred seventy-two thousand".