354812783814720 has 5376 divisors, whose sum is σ = 1697647008153600. Its totient is φ = 68079539404800.

The previous prime is 354812783814679. The next prime is 354812783814721. The reversal of 354812783814720 is 27418387218453.

354812783814720 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 1 + 2 + 7 + 83 + 81 + 472 + 0 = 666.

It is a super-2 number, since 2×354812783814720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (354812783814721) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1253755419699 + ... + 1253755419981.

It is an arithmetic number, because the mean of its divisors is an integer number (315782553600).

Almost surely, 2^{354812783814720} is an apocalyptic number.

354812783814720 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 354812783814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848823504076800).

354812783814720 is an abundant number, since it is smaller than the sum of its proper divisors (1342834224338880).

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

354812783814720 is a wasteful number, since it uses less digits than its factorization.

354812783814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 354812783814720 in words is "three hundred fifty-four trillion, eight hundred twelve billion, seven hundred eighty-three million, eight hundred fourteen thousand, seven hundred twenty".