46295400000 has 672 divisors, whose sum is σ = 167629271040. Its totient is φ = 11232000000.

The previous prime is 46295399903. The next prime is 46295400061. The reversal of 46295400000 is 459264.

It is a super-2 number, since 2×46295400000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 353399935 + ... + 353400065.

It is an arithmetic number, because the mean of its divisors is an integer number (249448320).

Almost surely, 2^46295400000 is an apocalyptic number.

46295400000 is a gapful number since it is divisible by the number (40) 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 46295400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83814635520).

46295400000 is an abundant number, since it is smaller than the sum of its proper divisors (121333871040).

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

46295400000 is a wasteful number, since it uses less digits than its factorization.

46295400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 46295400000 its reverse (459264), we get a palindrome (46295859264).

The spelling of 46295400000 in words is "forty-six billion, two hundred ninety-five million, four hundred thousand".