46556126144 has 112 divisors (see below), whose sum is σ = 104155134336. Its totient is φ = 20463744000.

The previous prime is 46556126129. The next prime is 46556126147. The reversal of 46556126144 is 44162165564.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 46556126095 and 46556126104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46556126147) 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, 3049859 + ... + 3065085.

Almost surely, 2^46556126144 is an apocalyptic number.

46556126144 is a gapful number since it is divisible by the number (44) 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 46556126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52077567168).

46556126144 is an abundant number, since it is smaller than the sum of its proper divisors (57599008192).

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

46556126144 is a wasteful number, since it uses less digits than its factorization.

46556126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15384 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The spelling of 46556126144 in words is "forty-six billion, five hundred fifty-six million, one hundred twenty-six thousand, one hundred forty-four".