34265541361050 has 72 divisors (see below), whose sum is σ = 92185682248764. Its totient is φ = 9125011745280.

The previous prime is 34265541361049. The next prime is 34265541361123. The reversal of 34265541361050 is 5016314556243.

It is a happy number.

34265541361050 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 554 + 1 + 36 + 10 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32589632465289 + 1675908895761 = 5708733^2 + 1294569^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34265541360987 and 34265541361005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51611247 + ... + 52270946.

Almost surely, 2^{34265541361050} is an apocalyptic number.

34265541361050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34265541361050 is an abundant number, since it is smaller than the sum of its proper divisors (57920140887714).

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

34265541361050 is a wasteful number, since it uses less digits than its factorization.

34265541361050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103882944 (or 103882936 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 34265541361050 in words is "thirty-four trillion, two hundred sixty-five billion, five hundred forty-one million, three hundred sixty-one thousand, fifty".