368509309542 has 384 divisors, whose sum is σ = 989390246400. Its totient is φ = 100520352000.

The previous prime is 368509309537. The next prime is 368509309543. The reversal of 368509309542 is 245903905863.

368509309542 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 0 + 93 + 0 + 9 + 542 = 666.

It is a super-2 number, since 2×368509309542² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368509309543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 661596328 + ... + 661596884.

It is an arithmetic number, because the mean of its divisors is an integer number (2576537100).

Almost surely, 2^368509309542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368509309542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494695123200).

368509309542 is an abundant number, since it is smaller than the sum of its proper divisors (620880936858).

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

368509309542 is a wasteful number, since it uses less digits than its factorization.

368509309542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 368509309542 in words is "three hundred sixty-eight billion, five hundred nine million, three hundred nine thousand, five hundred forty-two".