201490152292512 has 240 divisors, whose sum is σ = 594178526253312. Its totient is φ = 66981929011200.

The previous prime is 201490152292511. The next prime is 201490152292531. The reversal of 201490152292512 is 215292251094102.

201490152292512 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 90 + 1 + 522 + 9 + 25 + 12 = 666.

It is a super-3 number, since 3×201490152292512³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (201490152292511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5782120273 + ... + 5782155119.

Almost surely, 2^{201490152292512} 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 201490152292512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297089263126656).

201490152292512 is an abundant number, since it is smaller than the sum of its proper divisors (392688373960800).

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

201490152292512 is a wasteful number, since it uses less digits than its factorization.

201490152292512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40833 (or 40816 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 201490152292512 in words is "two hundred one trillion, four hundred ninety billion, one hundred fifty-two million, two hundred ninety-two thousand, five hundred twelve".