34870782148041 has 32 divisors (see below), whose sum is σ = 54236446617600. Its totient is φ = 19516147464960.

The previous prime is 34870782147973. The next prime is 34870782148061. The reversal of 34870782148041 is 14084128707843.

It is not a de Polignac number, because 34870782148041 - 2¹⁷ = 34870782016969 is a prime.

It is a super-2 number, since 2×34870782148041² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34870782148061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51590976 + ... + 52262513.

It is an arithmetic number, because the mean of its divisors is an integer number (1694888956800).

Almost surely, 2^{34870782148041} is an apocalyptic number.

It is an amenable number.

34870782148041 is a deficient number, since it is larger than the sum of its proper divisors (19365664469559).

34870782148041 is a wasteful number, since it uses less digits than its factorization.

34870782148041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103853829.

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 34870782148041 in words is "thirty-four trillion, eight hundred seventy billion, seven hundred eighty-two million, one hundred forty-eight thousand, forty-one".