46273411437264 has 80 divisors (see below), whose sum is σ = 144896540879040. Its totient is φ = 14022245888640.

The previous prime is 46273411437259. The next prime is 46273411437269.

It is a happy number.

46273411437264 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 341 + 1 + 4 + 37 + 264 = 666.

46273411437264 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46273411437259) and next prime (46273411437269).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46273411437264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46273411437269) by changing a digit.

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, 4868830627 + ... + 4868840130.

It is an arithmetic number, because the mean of its divisors is an integer number (1811206760988).

Almost surely, 2^{46273411437264} is an apocalyptic number.

46273411437264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46273411437264 is an abundant number, since it is smaller than the sum of its proper divisors (98623129441776).

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

46273411437264 is a wasteful number, since it uses less digits than its factorization.

46273411437264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737670785 (or 9737670773 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 46273411437264 in words is "forty-six trillion, two hundred seventy-three billion, four hundred eleven million, four hundred thirty-seven thousand, two hundred sixty-four".