46419609600 has 1728 divisors, whose sum is σ = 217362337920. Its totient is φ = 9555148800.

The previous prime is 46419609547. The next prime is 46419609601. The reversal of 46419609600 is 690691464.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46419609601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1132185580 + ... + 1132185620.

It is an arithmetic number, because the mean of its divisors is an integer number (125788390).

Almost surely, 2^46419609600 is an apocalyptic number.

46419609600 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 46419609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108681168960).

46419609600 is an abundant number, since it is smaller than the sum of its proper divisors (170942728320).

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

46419609600 is a wasteful number, since it uses less digits than its factorization.

46419609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 46419609600 in words is "forty-six billion, four hundred nineteen million, six hundred nine thousand, six hundred".