1612923346656 has 192 divisors, whose sum is σ = 4862052034560. Its totient is φ = 519661578240.

The previous prime is 1612923346649. The next prime is 1612923346663. The reversal of 1612923346656 is 6566433292161.

1612923346656 is a `hidden beast` number, since 1 + 6 + 1 + 292 + 3 + 346 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1612923346649) and next prime (1612923346663).

It is a super-2 number, since 2×1612923346656² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22113960 + ... + 22186776.

It is an arithmetic number, because the mean of its divisors is an integer number (25323187680).

Almost surely, 2^{1612923346656} is an apocalyptic number.

1612923346656 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 1612923346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431026017280).

1612923346656 is an abundant number, since it is smaller than the sum of its proper divisors (3249128687904).

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

1612923346656 is a wasteful number, since it uses less digits than its factorization.

1612923346656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73694 (or 73680 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 1612923346656 in words is "one trillion, six hundred twelve billion, nine hundred twenty-three million, three hundred forty-six thousand, six hundred fifty-six".