46466299266400 has 288 divisors, whose sum is σ = 126780763636800. Its totient is φ = 16511876505600.

The previous prime is 46466299266379. The next prime is 46466299266451. The reversal of 46466299266400 is 466299266464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93549906 + ... + 94045294.

It is an arithmetic number, because the mean of its divisors is an integer number (440210984850).

Almost surely, 2^{46466299266400} is an apocalyptic number.

46466299266400 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 46466299266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63390381818400).

46466299266400 is an abundant number, since it is smaller than the sum of its proper divisors (80314464370400).

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

46466299266400 is a wasteful number, since it uses less digits than its factorization.

46466299266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495762 (or 495749 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 64.

Adding to 46466299266400 its sum of digits (64), we get a palindrome (46466299266464).

The spelling of 46466299266400 in words is "forty-six trillion, four hundred sixty-six billion, two hundred ninety-nine million, two hundred sixty-six thousand, four hundred".