46991212369920 has 5760 divisors, whose sum is σ = 230789996236800. Its totient is φ = 9029615616000.

The previous prime is 46991212369897. The next prime is 46991212369949. The reversal of 46991212369920 is 2996321219964.

46991212369920 is a `hidden beast` number, since 4 + 69 + 9 + 121 + 2 + 369 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 311200081845 + ... + 311200081995.

It is an arithmetic number, because the mean of its divisors is an integer number (40067707680).

Almost surely, 2^{46991212369920} is an apocalyptic number.

46991212369920 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 46991212369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115394998118400).

46991212369920 is an abundant number, since it is smaller than the sum of its proper divisors (183798783866880).

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

46991212369920 is a wasteful number, since it uses less digits than its factorization.

46991212369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 46991212369920 in words is "forty-six trillion, nine hundred ninety-one billion, two hundred twelve million, three hundred sixty-nine thousand, nine hundred twenty".