11461435615632 has 80 divisors (see below), whose sum is σ = 29662084630080. Its totient is φ = 3813595009536.

The previous prime is 11461435615583. The next prime is 11461435615639. The reversal of 11461435615632 is 23651653416411.

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

It is not an unprimeable number, because it can be changed into a prime (11461435615639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102729094 + ... + 102840602.

It is an arithmetic number, because the mean of its divisors is an integer number (370776057876).

Almost surely, 2^{11461435615632} is an apocalyptic number.

11461435615632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11461435615632 is an abundant number, since it is smaller than the sum of its proper divisors (18200649014448).

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

11461435615632 is a wasteful number, since it uses less digits than its factorization.

11461435615632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115360 (or 115354 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 11461435615632 in words is "eleven trillion, four hundred sixty-one billion, four hundred thirty-five million, six hundred fifteen thousand, six hundred thirty-two".