46244320107552 has 864 divisors, whose sum is σ = 170547683604480. Its totient is φ = 12250844766720.

The previous prime is 46244320107551. The next prime is 46244320107569. The reversal of 46244320107552 is 25570102344264.

46244320107552 is a `hidden beast` number, since 4 + 6 + 24 + 43 + 20 + 10 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 46244320107498 and 46244320107507.

It is not an unprimeable number, because it can be changed into a prime (46244320107551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340186477 + ... + 340322387.

It is an arithmetic number, because the mean of its divisors is an integer number (197393152320).

Almost surely, 2^{46244320107552} is an apocalyptic number.

46244320107552 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 46244320107552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85273841802240).

46244320107552 is an abundant number, since it is smaller than the sum of its proper divisors (124303363496928).

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

46244320107552 is a wasteful number, since it uses less digits than its factorization.

46244320107552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136016 (or 135989 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 46244320107552 in words is "forty-six trillion, two hundred forty-four billion, three hundred twenty million, one hundred seven thousand, five hundred fifty-two".