1022610161664 has 1440 divisors, whose sum is σ = 4016342937600. Its totient is φ = 254166958080.

The previous prime is 1022610161641. The next prime is 1022610161687. The reversal of 1022610161664 is 4661610162201.

1022610161664 is a `hidden beast` number, since 1 + 0 + 2 + 26 + 10 + 1 + 616 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1022610161641) and next prime (1022610161687).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5353979809 + ... + 5353979999.

It is an arithmetic number, because the mean of its divisors is an integer number (2789127040).

Almost surely, 2^{1022610161664} is an apocalyptic number.

1022610161664 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 1022610161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008171468800).

1022610161664 is an abundant number, since it is smaller than the sum of its proper divisors (2993732775936).

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

1022610161664 is a wasteful number, since it uses less digits than its factorization.

1022610161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1022610161664 in words is "one trillion, twenty-two billion, six hundred ten million, one hundred sixty-one thousand, six hundred sixty-four".