345022151040 has 384 divisors, whose sum is σ = 1363025102400. Its totient is φ = 78779990016.

The previous prime is 345022151003. The next prime is 345022151069. The reversal of 345022151040 is 40151220543.

345022151040 is a `hidden beast` number, since 3 + 4 + 502 + 2 + 151 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 345022150995 and 345022151013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44065846 + ... + 44073674.

Almost surely, 2^345022151040 is an apocalyptic number.

345022151040 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 345022151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681512551200).

345022151040 is an abundant number, since it is smaller than the sum of its proper divisors (1018002951360).

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

345022151040 is a wasteful number, since it uses less digits than its factorization.

345022151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 345022151040 its reverse (40151220543), we get a palindrome (385173371583).

The spelling of 345022151040 in words is "three hundred forty-five billion, twenty-two million, one hundred fifty-one thousand, forty".