1654972522416 has 560 divisors, whose sum is σ = 5224517895168. Its totient is φ = 505639065600.

The previous prime is 1654972522391. The next prime is 1654972522421. The reversal of 1654972522416 is 6142252794561.

1654972522416 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 9 + 72 + 522 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2898375411 + ... + 2898375981.

Almost surely, 2^{1654972522416} is an apocalyptic number.

1654972522416 is a gapful number since it is divisible by the number (16) 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 1654972522416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612258947584).

1654972522416 is an abundant number, since it is smaller than the sum of its proper divisors (3569545372752).

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

1654972522416 is a wasteful number, since it uses less digits than its factorization.

1654972522416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 951 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 1654972522416 in words is "one trillion, six hundred fifty-four billion, nine hundred seventy-two million, five hundred twenty-two thousand, four hundred sixteen".