46081261372800 has 384 divisors, whose sum is σ = 152414667336960. Its totient is φ = 12237030973440.

The previous prime is 46081261372787. The next prime is 46081261372801. The reversal of 46081261372800 is 827316218064.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46081261372800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46081261372801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4171376877 + ... + 4171387923.

It is an arithmetic number, because the mean of its divisors is an integer number (396913196190).

Almost surely, 2^{46081261372800} is an apocalyptic number.

46081261372800 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 46081261372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76207333668480).

46081261372800 is an abundant number, since it is smaller than the sum of its proper divisors (106333405964160).

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

46081261372800 is a wasteful number, since it uses less digits than its factorization.

46081261372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12850 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 46081261372800 in words is "forty-six trillion, eighty-one billion, two hundred sixty-one million, three hundred seventy-two thousand, eight hundred".