382869553248000 has 4320 divisors, whose sum is σ = 1812048161571648. Its totient is φ = 79552585728000.

The previous prime is 382869553247957. The next prime is 382869553248011. The reversal of 382869553248000 is 842355968283.

382869553248000 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 6 + 95 + 532 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110623966270 + ... + 110623969730.

Almost surely, 2^{382869553248000} is an apocalyptic number.

382869553248000 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 382869553248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906024080785824).

382869553248000 is an abundant number, since it is smaller than the sum of its proper divisors (1429178608323648).

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

382869553248000 is a wasteful number, since it uses less digits than its factorization.

382869553248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 382869553248000 in words is "three hundred eighty-two trillion, eight hundred sixty-nine billion, five hundred fifty-three million, two hundred forty-eight thousand".