46371193456896 has 2592 divisors, whose sum is σ = 181264510941696. Its totient is φ = 11133517824000.

The previous prime is 46371193456891. The next prime is 46371193456937. The reversal of 46371193456896 is 69865439117364.

46371193456896 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 1 + 1 + 93 + 456 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (46371193456891) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 240265250976 + ... + 240265251168.

It is an arithmetic number, because the mean of its divisors is an integer number (69932295888).

Almost surely, 2^{46371193456896} is an apocalyptic number.

46371193456896 is a gapful number since it is divisible by the number (46) 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 46371193456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90632255470848).

46371193456896 is an abundant number, since it is smaller than the sum of its proper divisors (134893317484800).

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

46371193456896 is a wasteful number, since it uses less digits than its factorization.

46371193456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 393 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 46371193456896 in words is "forty-six trillion, three hundred seventy-one billion, one hundred ninety-three million, four hundred fifty-six thousand, eight hundred ninety-six".