46561413600 has 288 divisors, whose sum is σ = 181351830240. Its totient is φ = 11461201920.

The previous prime is 46561413551. The next prime is 46561413617. The reversal of 46561413600 is 631416564.

It is a happy number.

46561413600 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 1 + 41 + 3 + 600 = 666.

46561413600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197892 + ... + 363708.

It is an arithmetic number, because the mean of its divisors is an integer number (629693855).

Almost surely, 2^46561413600 is an apocalyptic number.

46561413600 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 46561413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90675915120).

46561413600 is an abundant number, since it is smaller than the sum of its proper divisors (134790416640).

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

46561413600 is a wasteful number, since it uses less digits than its factorization.

46561413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165859 (or 165840 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46561413600 in words is "forty-six billion, five hundred sixty-one million, four hundred thirteen thousand, six hundred".