46245361344 has 224 divisors, whose sum is σ = 150975584256. Its totient is φ = 12165672960.

The previous prime is 46245361343. The next prime is 46245361369. The reversal of 46245361344 is 44316354264.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46245361296 and 46245361305.

It is not an unprimeable number, because it can be changed into a prime (46245361343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7352569 + ... + 7358855.

It is an arithmetic number, because the mean of its divisors is an integer number (673998144).

Almost surely, 2^46245361344 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 46245361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75487792128).

46245361344 is an abundant number, since it is smaller than the sum of its proper divisors (104730222912).

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

46245361344 is a wasteful number, since it uses less digits than its factorization.

46245361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6733 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The spelling of 46245361344 in words is "forty-six billion, two hundred forty-five million, three hundred sixty-one thousand, three hundred forty-four".