384858723465216 has 1536 divisors, whose sum is σ = 1580072185036800. Its totient is φ = 89296846848000.

The previous prime is 384858723465199. The next prime is 384858723465233. The reversal of 384858723465216 is 612564327858483.

384858723465216 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 58 + 7 + 2 + 3 + 46 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (384858723465199) and next prime (384858723465233).

It is a tau number, because it is divible by the number of its divisors (1536).

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, 1715778031 + ... + 1716002321.

It is an arithmetic number, because the mean of its divisors is an integer number (1028692828800).

Almost surely, 2^{384858723465216} is an apocalyptic number.

384858723465216 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 384858723465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790036092518400).

384858723465216 is an abundant number, since it is smaller than the sum of its proper divisors (1195213461571584).

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

384858723465216 is a wasteful number, since it uses less digits than its factorization.

384858723465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224384 (or 224358 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 72.

The spelling of 384858723465216 in words is "three hundred eighty-four trillion, eight hundred fifty-eight billion, seven hundred twenty-three million, four hundred sixty-five thousand, two hundred sixteen".