46694339704320 has 3840 divisors, whose sum is σ = 209635318480896. Its totient is φ = 8636910796800.

The previous prime is 46694339704307. The next prime is 46694339704321. The reversal of 46694339704320 is 2340793349664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×46694339704320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46694339704321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 181690037632 + ... + 181690037888.

Almost surely, 2^{46694339704320} is an apocalyptic number.

46694339704320 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 46694339704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104817659240448).

46694339704320 is an abundant number, since it is smaller than the sum of its proper divisors (162940978776576).

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

46694339704320 is a wasteful number, since it uses less digits than its factorization.

46694339704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 60.

The spelling of 46694339704320 in words is "forty-six trillion, six hundred ninety-four billion, three hundred thirty-nine million, seven hundred four thousand, three hundred twenty".