101345411776458 has 128 divisors (see below), whose sum is σ = 211335417895680. Its totient is φ = 32360581693440.

The previous prime is 101345411776451. The next prime is 101345411776571. The reversal of 101345411776458 is 854677114543101.

It is a junction number, because it is equal to n+sod(n) for n = 101345411776398 and 101345411776407.

It is not an unprimeable number, because it can be changed into a prime (101345411776451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37109266953 + ... + 37109269683.

It is an arithmetic number, because the mean of its divisors is an integer number (1651057952310).

Almost surely, 2^{101345411776458} is an apocalyptic number.

101345411776458 is an abundant number, since it is smaller than the sum of its proper divisors (109990006119222).

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

101345411776458 is a wasteful number, since it uses less digits than its factorization.

101345411776458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944.

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 101345411776458 in words is "one hundred one trillion, three hundred forty-five billion, four hundred eleven million, seven hundred seventy-six thousand, four hundred fifty-eight".