46541214720 has 1056 divisors, whose sum is σ = 216737015040. Its totient is φ = 8918138880.

The previous prime is 46541214691. The next prime is 46541214773. The reversal of 46541214720 is 2741214564.

46541214720 is a `hidden beast` number, since 4 + 65 + 4 + 121 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×46541214720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46125576 + ... + 46126584.

Almost surely, 2^46541214720 is an apocalyptic number.

46541214720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46541214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108368507520).

46541214720 is an abundant number, since it is smaller than the sum of its proper divisors (170195800320).

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

46541214720 is a wasteful number, since it uses less digits than its factorization.

46541214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 46541214720 in words is "forty-six billion, five hundred forty-one million, two hundred fourteen thousand, seven hundred twenty".