34404142065615 has 96 divisors (see below), whose sum is σ = 70317847941120. Its totient is φ = 15235532552448.

The previous prime is 34404142065589. The next prime is 34404142065641. The reversal of 34404142065615 is 51656024140443.

34404142065615 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 1 + 4 + 20 + 6 + 5 + 615 = 666.

It is an interprime number because it is at equal distance from previous prime (34404142065589) and next prime (34404142065641).

It is not a de Polignac number, because 34404142065615 - 2⁹ = 34404142065103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11723787 + ... + 14361596.

It is an arithmetic number, because the mean of its divisors is an integer number (732477582720).

Almost surely, 2^{34404142065615} is an apocalyptic number.

34404142065615 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34404142065615 is an abundant number, since it is smaller than the sum of its proper divisors (35913705875505).

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

34404142065615 is a wasteful number, since it uses less digits than its factorization.

34404142065615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26085533 (or 26085530 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 34404142065615 in words is "thirty-four trillion, four hundred four billion, one hundred forty-two million, sixty-five thousand, six hundred fifteen".