46861964960175 has 36 divisors (see below), whose sum is σ = 83939477618880. Its totient is φ = 24991710562560.

The previous prime is 46861964960149. The next prime is 46861964960179. The reversal of 46861964960175 is 57106946916864.

It is a happy number.

46861964960175 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 1 + 9 + 6 + 4 + 9 + 601 + 7 + 5 = 666.

46861964960175 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46861964960175 - 2¹³ = 46861964951983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46861964960179) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1351434 + ... + 9774983.

It is an arithmetic number, because the mean of its divisors is an integer number (2331652156080).

Almost surely, 2^{46861964960175} is an apocalyptic number.

46861964960175 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46861964960175 is a deficient number, since it is larger than the sum of its proper divisors (37077512658705).

46861964960175 is a wasteful number, since it uses less digits than its factorization.

46861964960175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145152 (or 11145144 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 46861964960175 in words is "forty-six trillion, eight hundred sixty-one billion, nine hundred sixty-four million, nine hundred sixty thousand, one hundred seventy-five".