8034348951090 has 256 divisors, whose sum is σ = 28117476864000. Its totient is φ = 1581607918080.

The previous prime is 8034348951061. The next prime is 8034348951107. The reversal of 8034348951090 is 901598434308.

8034348951090 is a `hidden beast` number, since 8 + 0 + 3 + 4 + 34 + 8 + 9 + 510 + 90 = 666.

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

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, 9774795 + ... + 10564814.

It is an arithmetic number, because the mean of its divisors is an integer number (109833894000).

Almost surely, 2^{8034348951090} is an apocalyptic number.

8034348951090 is an abundant number, since it is smaller than the sum of its proper divisors (20083127912910).

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

8034348951090 is a wasteful number, since it uses less digits than its factorization.

8034348951090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20339662 (or 20339656 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8034348951090 in words is "eight trillion, thirty-four billion, three hundred forty-eight million, nine hundred fifty-one thousand, ninety".