34191960561144 has 128 divisors (see below), whose sum is σ = 95042794176000. Its totient is φ = 11389507863552.

The previous prime is 34191960561079. The next prime is 34191960561167. The reversal of 34191960561144 is 44116506919143.

It is a happy number.

34191960561144 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 1 + 9 + 60 + 561 + 14 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3279170059 + ... + 3279180485.

It is an arithmetic number, because the mean of its divisors is an integer number (742521829500).

Almost surely, 2^{34191960561144} is an apocalyptic number.

It is an amenable number.

34191960561144 is an abundant number, since it is smaller than the sum of its proper divisors (60850833614856).

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

34191960561144 is a wasteful number, since it uses less digits than its factorization.

34191960561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19394 (or 19384 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 34191960561144 in words is "thirty-four trillion, one hundred ninety-one billion, nine hundred sixty million, five hundred sixty-one thousand, one hundred forty-four".