345486816000 has 576 divisors, whose sum is σ = 1316270592000. Its totient is φ = 89150976000.

The previous prime is 345486815983. The next prime is 345486816019. The reversal of 345486816000 is 618684543.

345486816000 is a `hidden beast` number, since 3 + 4 + 5 + 486 + 8 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×345486816000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26777551 + ... + 26790449.

It is an arithmetic number, because the mean of its divisors is an integer number (2285192000).

Almost surely, 2^345486816000 is an apocalyptic number.

345486816000 is a gapful number since it is divisible by the number (30) 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 345486816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658135296000).

345486816000 is an abundant number, since it is smaller than the sum of its proper divisors (970783776000).

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

345486816000 is a wasteful number, since it uses less digits than its factorization.

345486816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 345486816000 in words is "three hundred forty-five billion, four hundred eighty-six million, eight hundred sixteen thousand".