368548119072 has 768 divisors, whose sum is σ = 1312429547520. Its totient is φ = 98357428224.

The previous prime is 368548119047. The next prime is 368548119101. The reversal of 368548119072 is 270911845863.

368548119072 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 481 + 1 + 90 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1581751468 + ... + 1581751700.

It is an arithmetic number, because the mean of its divisors is an integer number (1708892640).

It is a 1-persistent number, because it is pandigital, but 2⋅368548119072 = 737096238144 is not.

Almost surely, 2^368548119072 is an apocalyptic number.

368548119072 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 368548119072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656214773760).

368548119072 is an abundant number, since it is smaller than the sum of its proper divisors (943881428448).

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

368548119072 is a wasteful number, since it uses less digits than its factorization.

368548119072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 368548119072 in words is "three hundred sixty-eight billion, five hundred forty-eight million, one hundred nineteen thousand, seventy-two".