345777061994496 has 840 divisors, whose sum is σ = 1172081200574592. Its totient is φ = 101400168038400.

The previous prime is 345777061994491. The next prime is 345777061994513. The reversal of 345777061994496 is 694499160777543.

345777061994496 is a `hidden beast` number, since 3 + 4 + 57 + 7 + 70 + 6 + 1 + 9 + 9 + 4 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (345777061994491) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2488914091 + ... + 2489053013.

Almost surely, 2^{345777061994496} is an apocalyptic number.

345777061994496 is a gapful number since it is divisible by the number (36) 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 345777061994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586040600287296).

345777061994496 is an abundant number, since it is smaller than the sum of its proper divisors (826304138580096).

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

345777061994496 is a wasteful number, since it uses less digits than its factorization.

345777061994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139014 (or 138970 counting only the distinct ones).

The product of its (nonzero) digits is 8641624320, while the sum is 81.

The spelling of 345777061994496 in words is "three hundred forty-five trillion, seven hundred seventy-seven billion, sixty-one million, nine hundred ninety-four thousand, four hundred ninety-six".