154990245073664 has 1152 divisors, whose sum is σ = 426128923422720. Its totient is φ = 54649700352000.

The previous prime is 154990245073639. The next prime is 154990245073687. The reversal of 154990245073664 is 466370542099451.

It is a super-3 number, since 3×154990245073664³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 154990245073664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895897370282 + ... + 895897370454.

It is an arithmetic number, because the mean of its divisors is an integer number (369903579360).

Almost surely, 2^{154990245073664} is an apocalyptic number.

154990245073664 is a gapful number since it is divisible by the number (14) 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 154990245073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213064461711360).

154990245073664 is an abundant number, since it is smaller than the sum of its proper divisors (271138678349056).

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

154990245073664 is a wasteful number, since it uses less digits than its factorization.

154990245073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 65.

The spelling of 154990245073664 in words is "one hundred fifty-four trillion, nine hundred ninety billion, two hundred forty-five million, seventy-three thousand, six hundred sixty-four".