354248674560 has 1152 divisors, whose sum is σ = 1414225612800. Its totient is φ = 83249233920.

The previous prime is 354248674547. The next prime is 354248674609. The reversal of 354248674560 is 65476842453.

354248674560 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 4 + 8 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×354248674560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 354248674497 and 354248674506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3249987786 + ... + 3249987894.

It is an arithmetic number, because the mean of its divisors is an integer number (1227626400).

Almost surely, 2^354248674560 is an apocalyptic number.

354248674560 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 354248674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707112806400).

354248674560 is an abundant number, since it is smaller than the sum of its proper divisors (1059976938240).

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

354248674560 is a wasteful number, since it uses less digits than its factorization.

354248674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 354248674560 in words is "three hundred fifty-four billion, two hundred forty-eight million, six hundred seventy-four thousand, five hundred sixty".