368466126336 has 480 divisors, whose sum is σ = 1384125874560. Its totient is φ = 95703552000.

The previous prime is 368466126311. The next prime is 368466126337. The reversal of 368466126336 is 633621664863.

It is a super-2 number, since 2×368466126336² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368466126337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7426411 + ... + 7475861.

It is an arithmetic number, because the mean of its divisors is an integer number (2883595572).

Almost surely, 2^368466126336 is an apocalyptic number.

368466126336 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 368466126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692062937280).

368466126336 is an abundant number, since it is smaller than the sum of its proper divisors (1015659748224).

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

368466126336 is a wasteful number, since it uses less digits than its factorization.

368466126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49503 (or 49474 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 368466126336 in words is "three hundred sixty-eight billion, four hundred sixty-six million, one hundred twenty-six thousand, three hundred thirty-six".