46536417312 has 288 divisors, whose sum is σ = 157396442112. Its totient is φ = 11695680000.

The previous prime is 46536417251. The next prime is 46536417353. The reversal of 46536417312 is 21371463564.

It is a super-2 number, since 2×46536417312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7100437 + ... + 7106987.

It is an arithmetic number, because the mean of its divisors is an integer number (546515424).

Almost surely, 2^46536417312 is an apocalyptic number.

46536417312 is a gapful number since it is divisible by the number (42) 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 46536417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78698221056).

46536417312 is an abundant number, since it is smaller than the sum of its proper divisors (110860024800).

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

46536417312 is a wasteful number, since it uses less digits than its factorization.

46536417312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6605 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 46536417312 in words is "forty-six billion, five hundred thirty-six million, four hundred seventeen thousand, three hundred twelve".