1656001550016 has 672 divisors, whose sum is σ = 5496306536448. Its totient is φ = 471812014080.

The previous prime is 1656001549997. The next prime is 1656001550017. The reversal of 1656001550016 is 6100551006561.

It is a super-2 number, since 2×1656001550016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1656001550017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2728173585 + ... + 2728174191.

It is an arithmetic number, because the mean of its divisors is an integer number (8179027584).

Almost surely, 2^{1656001550016} is an apocalyptic number.

1656001550016 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 1656001550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748153268224).

1656001550016 is an abundant number, since it is smaller than the sum of its proper divisors (3840304986432).

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

1656001550016 is a wasteful number, since it uses less digits than its factorization.

1656001550016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 1656001550016 its reverse (6100551006561), we get a palindrome (7756552556577).

The spelling of 1656001550016 in words is "one trillion, six hundred fifty-six billion, one million, five hundred fifty thousand, sixteen".