46511312540 has 288 divisors, whose sum is σ = 130310208000. Its totient is φ = 13762721280.

The previous prime is 46511312531. The next prime is 46511312591. The reversal of 46511312540 is 4521311564.

It is a super-2 number, since 2×46511312540² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46511312497 and 46511312506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36942431 + ... + 36943689.

It is an arithmetic number, because the mean of its divisors is an integer number (452466000).

Almost surely, 2^46511312540 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 46511312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155104000).

46511312540 is an abundant number, since it is smaller than the sum of its proper divisors (83798895460).

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

46511312540 is a wasteful number, since it uses less digits than its factorization.

46511312540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 46511312540 in words is "forty-six billion, five hundred eleven million, three hundred twelve thousand, five hundred forty".