46242661761072 has 80 divisors (see below), whose sum is σ = 151695504199680. Its totient is φ = 13212189073728.

The previous prime is 46242661761001. The next prime is 46242661761083. The reversal of 46242661761072 is 27016716624264.

46242661761072 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 2 + 6 + 6 + 17 + 610 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7645939728 + ... + 7645945775.

It is an arithmetic number, because the mean of its divisors is an integer number (1896193802496).

Almost surely, 2^{46242661761072} is an apocalyptic number.

46242661761072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46242661761072 is an abundant number, since it is smaller than the sum of its proper divisors (105452842438608).

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

46242661761072 is a wasteful number, since it uses less digits than its factorization.

46242661761072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15291885527 (or 15291885515 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 46242661761072 in words is "forty-six trillion, two hundred forty-two billion, six hundred sixty-one million, seven hundred sixty-one thousand, seventy-two".