338532558000 has 640 divisors, whose sum is σ = 1353837348864. Its totient is φ = 70866432000.

The previous prime is 338532557983. The next prime is 338532558029. The reversal of 338532558000 is 855235833.

It is a super-2 number, since 2×338532558000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 71523634 + ... + 71528366.

Almost surely, 2^338532558000 is an apocalyptic number.

338532558000 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 338532558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676918674432).

338532558000 is an abundant number, since it is smaller than the sum of its proper divisors (1015304790864).

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

338532558000 is a wasteful number, since it uses less digits than its factorization.

338532558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 338532558000 in words is "three hundred thirty-eight billion, five hundred thirty-two million, five hundred fifty-eight thousand".