46509148272 has 80 divisors (see below), whose sum is σ = 121768456320. Its totient is φ = 15294571776.

The previous prime is 46509148249. The next prime is 46509148277. The reversal of 46509148272 is 27284190564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46509148277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2936278 + ... + 2952074.

It is an arithmetic number, because the mean of its divisors is an integer number (1522105704).

Almost surely, 2^46509148272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46509148272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60884228160).

46509148272 is an abundant number, since it is smaller than the sum of its proper divisors (75259308048).

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

46509148272 is a wasteful number, since it uses less digits than its factorization.

46509148272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16630 (or 16624 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 46509148272 in words is "forty-six billion, five hundred nine million, one hundred forty-eight thousand, two hundred seventy-two".