354545177220 has 768 divisors, whose sum is σ = 1292677263360. Its totient is φ = 79891660800.

The previous prime is 354545177209. The next prime is 354545177263. The reversal of 354545177220 is 22771545453.

354545177220 is a `hidden beast` number, since 3 + 5 + 4 + 545 + 17 + 72 + 20 = 666.

It is a super-2 number, since 2×354545177220² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 822610405 + ... + 822610835.

It is an arithmetic number, because the mean of its divisors is an integer number (1683173520).

Almost surely, 2^354545177220 is an apocalyptic number.

354545177220 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 354545177220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646338631680).

354545177220 is an abundant number, since it is smaller than the sum of its proper divisors (938132086140).

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

354545177220 is a wasteful number, since it uses less digits than its factorization.

354545177220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 354545177220 in words is "three hundred fifty-four billion, five hundred forty-five million, one hundred seventy-seven thousand, two hundred twenty".