354347418096 has 640 divisors, whose sum is σ = 1216207872000. Its totient is φ = 96698105856.

The previous prime is 354347418013. The next prime is 354347418097. The reversal of 354347418096 is 690814743453.

354347418096 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 474 + 1 + 80 + 96 = 666.

It is a super-2 number, since 2×354347418096² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354347418097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1378783600 + ... + 1378783856.

It is an arithmetic number, because the mean of its divisors is an integer number (1900324800).

Almost surely, 2^354347418096 is an apocalyptic number.

354347418096 is a gapful number since it is divisible by the number (36) 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 354347418096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608103936000).

354347418096 is an abundant number, since it is smaller than the sum of its proper divisors (861860453904).

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

354347418096 is a wasteful number, since it uses less digits than its factorization.

354347418096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 354347418096 in words is "three hundred fifty-four billion, three hundred forty-seven million, four hundred eighteen thousand, ninety-six".