46073901081600 has 2772 divisors, whose sum is σ = 202762086955392. Its totient is φ = 10163692339200.

The previous prime is 46073901081583. The next prime is 46073901081653. The reversal of 46073901081600 is 618010937064.

It is a happy number.

46073901081600 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 39 + 0 + 1 + 0 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 125541964617 + ... + 125541964983.

Almost surely, 2^{46073901081600} is an apocalyptic number.

46073901081600 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 46073901081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101381043477696).

46073901081600 is an abundant number, since it is smaller than the sum of its proper divisors (156688185873792).

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

46073901081600 is an equidigital number, since it uses as much as digits as its factorization.

46073901081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 46073901081600 in words is "forty-six trillion, seventy-three billion, nine hundred one million, eighty-one thousand, six hundred".