338504048640 has 672 divisors, whose sum is σ = 1275829401600. Its totient is φ = 82705121280.

The previous prime is 338504048633. The next prime is 338504048681. The reversal of 338504048640 is 46840405833.

It is a super-2 number, since 2×338504048640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217128181 + ... + 217129739.

Almost surely, 2^338504048640 is an apocalyptic number.

338504048640 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 338504048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637914700800).

338504048640 is an abundant number, since it is smaller than the sum of its proper divisors (937325352960).

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

338504048640 is a wasteful number, since it uses less digits than its factorization.

338504048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 338504048640 in words is "three hundred thirty-eight billion, five hundred four million, forty-eight thousand, six hundred forty".