42346213061625 has 384 divisors, whose sum is σ = 89320078149120. Its totient is φ = 19083859200000.

The previous prime is 42346213061591. The next prime is 42346213061641. The reversal of 42346213061625 is 52616031264324.

42346213061625 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 6 + 2 + 1 + 3 + 0 + 616 + 25 = 666.

It is not a de Polignac number, because 42346213061625 - 2⁷ = 42346213061497 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 6038241619 + ... + 6038248631.

It is an arithmetic number, because the mean of its divisors is an integer number (232604370180).

Almost surely, 2^{42346213061625} is an apocalyptic number.

42346213061625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42346213061625 is an abundant number, since it is smaller than the sum of its proper divisors (46973865087495).

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

42346213061625 is a wasteful number, since it uses less digits than its factorization.

42346213061625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 42346213061625 in words is "forty-two trillion, three hundred forty-six billion, two hundred thirteen million, sixty-one thousand, six hundred twenty-five".