314642400015541 has 32 divisors (see below), whose sum is σ = 356437524280320. Its totient is φ = 275719096972800.

The previous prime is 314642400015529. The next prime is 314642400015641. The reversal of 314642400015541 is 145510004246413.

It is not a de Polignac number, because 314642400015541 - 2³¹ = 314640252531893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314642400015494 and 314642400015503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314642400015511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122159121 + ... + 124708201.

It is an arithmetic number, because the mean of its divisors is an integer number (11138672633760).

Almost surely, 2^{314642400015541} is an apocalyptic number.

314642400015541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

314642400015541 is a deficient number, since it is larger than the sum of its proper divisors (41795124264779).

314642400015541 is a wasteful number, since it uses less digits than its factorization.

314642400015541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554957.

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 314642400015541 in words is "three hundred fourteen trillion, six hundred forty-two billion, four hundred million, fifteen thousand, five hundred forty-one".