354532114080 has 720 divisors, whose sum is σ = 1343497034880. Its totient is φ = 88020836352.

The previous prime is 354532114067. The next prime is 354532114099. The reversal of 354532114080 is 80411235453.

354532114080 is a `hidden beast` number, since 3 + 5 + 4 + 532 + 1 + 1 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 385779861 + ... + 385780779.

It is an arithmetic number, because the mean of its divisors is an integer number (1865968104).

Almost surely, 2^354532114080 is an apocalyptic number.

354532114080 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 354532114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671748517440).

354532114080 is an abundant number, since it is smaller than the sum of its proper divisors (988964920800).

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

354532114080 is a wasteful number, since it uses less digits than its factorization.

354532114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 354532114080 in words is "three hundred fifty-four billion, five hundred thirty-two million, one hundred fourteen thousand, eighty".