335890641504 has 384 divisors, whose sum is σ = 1048020664320. Its totient is φ = 93061785600.

The previous prime is 335890641497. The next prime is 335890641547. The reversal of 335890641504 is 405146098533.

It is a super-2 number, since 2×335890641504² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406155139 + ... + 406155965.

It is an arithmetic number, because the mean of its divisors is an integer number (2729220480).

Almost surely, 2^335890641504 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 335890641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524010332160).

335890641504 is an abundant number, since it is smaller than the sum of its proper divisors (712130022816).

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

335890641504 is a wasteful number, since it uses less digits than its factorization.

335890641504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 335890641504 in words is "three hundred thirty-five billion, eight hundred ninety million, six hundred forty-one thousand, five hundred four".