46514189400 has 192 divisors, whose sum is σ = 164902183680. Its totient is φ = 10624780800.

The previous prime is 46514189329. The next prime is 46514189417. The reversal of 46514189400 is 498141564.

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

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, 8947602 + ... + 8952798.

It is an arithmetic number, because the mean of its divisors is an integer number (858865540).

Almost surely, 2^46514189400 is an apocalyptic number.

46514189400 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 46514189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82451091840).

46514189400 is an abundant number, since it is smaller than the sum of its proper divisors (118387994280).

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

46514189400 is a wasteful number, since it uses less digits than its factorization.

46514189400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 46514189400 in words is "forty-six billion, five hundred fourteen million, one hundred eighty-nine thousand, four hundred".