354156160774000 has 640 divisors, whose sum is σ = 960997259738880. Its totient is φ = 125335590912000.

The previous prime is 354156160773983. The next prime is 354156160774057. The reversal of 354156160774000 is 477061651453.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107092880347 + ... + 107092883653.

It is an arithmetic number, because the mean of its divisors is an integer number (1501558218342).

Almost surely, 2^{354156160774000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354156160774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480498629869440).

354156160774000 is an abundant number, since it is smaller than the sum of its proper divisors (606841098964880).

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

354156160774000 is a wasteful number, since it uses less digits than its factorization.

354156160774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 354156160774000 in words is "three hundred fifty-four trillion, one hundred fifty-six billion, one hundred sixty million, seven hundred seventy-four thousand".