1612295700816 has 240 divisors, whose sum is σ = 4539207001920. Its totient is φ = 491754240000.

The previous prime is 1612295700773. The next prime is 1612295700881. The reversal of 1612295700816 is 6180075922161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537251316 + ... + 537254316.

It is an arithmetic number, because the mean of its divisors is an integer number (18913362508).

Almost surely, 2^{1612295700816} is an apocalyptic number.

1612295700816 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 1612295700816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269603500960).

1612295700816 is an abundant number, since it is smaller than the sum of its proper divisors (2926911301104).

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

1612295700816 is a wasteful number, since it uses less digits than its factorization.

1612295700816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 1612295700816 in words is "one trillion, six hundred twelve billion, two hundred ninety-five million, seven hundred thousand, eight hundred sixteen".