46013317451000 has 128 divisors (see below), whose sum is σ = 111395185200000. Its totient is φ = 17768869888000.

The previous prime is 46013317450981. The next prime is 46013317451063. The reversal of 46013317451000 is 15471331064.

It is a super-2 number, since 2×46013317451000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308224376 + ... + 308373624.

It is an arithmetic number, because the mean of its divisors is an integer number (870274884375).

Almost surely, 2^{46013317451000} is an apocalyptic number.

46013317451000 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 46013317451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55697592600000).

46013317451000 is an abundant number, since it is smaller than the sum of its proper divisors (65381867749000).

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

46013317451000 is a wasteful number, since it uses less digits than its factorization.

46013317451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159930 (or 159916 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 46013317451000 its reverse (15471331064), we get a palindrome (46028788782064).

The spelling of 46013317451000 in words is "forty-six trillion, thirteen billion, three hundred seventeen million, four hundred fifty-one thousand".