46096090000000 has 576 divisors, whose sum is σ = 122230923904440. Its totient is φ = 17313408000000.

The previous prime is 46096089999997. The next prime is 46096090000061. The reversal of 46096090000000 is 9069064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 24393088812096 + 21703001187904 = 4938936^2 + 4658648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407929999944 + ... + 407930000056.

Almost surely, 2^{46096090000000} is an apocalyptic number.

46096090000000 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 46096090000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61115461952220).

46096090000000 is an abundant number, since it is smaller than the sum of its proper divisors (76134833904440).

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

46096090000000 is an frugal number, since it uses more digits than its factorization.

46096090000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

Adding to 46096090000000 its reverse (9069064), we get a palindrome (46096099069064).

The spelling of 46096090000000 in words is "forty-six trillion, ninety-six billion, ninety million", and thus it is an aban number and an uban number.