368099157888 has 960 divisors, whose sum is σ = 1401360048000. Its totient is φ = 94842316800.

The previous prime is 368099157887. The next prime is 368099157889. The reversal of 368099157888 is 888751990863.

It is an interprime number because it is at equal distance from previous prime (368099157887) and next prime (368099157889).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368099157887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1112081883 + ... + 1112082213.

It is an arithmetic number, because the mean of its divisors is an integer number (1459750050).

Almost surely, 2^368099157888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368099157888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700680024000).

368099157888 is an abundant number, since it is smaller than the sum of its proper divisors (1033260890112).

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

368099157888 is a wasteful number, since it uses less digits than its factorization.

368099157888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 368099157888 in words is "three hundred sixty-eight billion, ninety-nine million, one hundred fifty-seven thousand, eight hundred eighty-eight".