351853080048 has 240 divisors, whose sum is σ = 1022924725056. Its totient is φ = 112812134400.

The previous prime is 351853080031. The next prime is 351853080049. The reversal of 351853080048 is 840080358153.

351853080048 is a `hidden beast` number, since 3 + 518 + 53 + 0 + 80 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 351853079985 and 351853080012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351853080049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187454086 + ... + 187455962.

Almost surely, 2^351853080048 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 351853080048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511462362528).

351853080048 is an abundant number, since it is smaller than the sum of its proper divisors (671071645008).

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

351853080048 is a wasteful number, since it uses less digits than its factorization.

351853080048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 351853080048 in words is "three hundred fifty-one billion, eight hundred fifty-three million, eighty thousand, forty-eight".