46405735113100 has 288 divisors, whose sum is σ = 116806825759680. Its totient is φ = 15870307840000.

The previous prime is 46405735113091. The next prime is 46405735113103. The reversal of 46405735113100 is 131153750464.

It is a happy number.

It is a super-2 number, since 2×46405735113100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46405735113103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10273572042 + ... + 10273576558.

It is an arithmetic number, because the mean of its divisors is an integer number (405579256110).

Almost surely, 2^{46405735113100} 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 46405735113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58403412879840).

46405735113100 is an abundant number, since it is smaller than the sum of its proper divisors (70401090646580).

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

46405735113100 is a wasteful number, since it uses less digits than its factorization.

46405735113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 46405735113100 its reverse (131153750464), we get a palindrome (46536888863564).

The spelling of 46405735113100 in words is "forty-six trillion, four hundred five billion, seven hundred thirty-five million, one hundred thirteen thousand, one hundred".