46689736119408 has 160 divisors (see below), whose sum is σ = 137645988217920. Its totient is φ = 15141838602240.

The previous prime is 46689736119407. The next prime is 46689736119421. The reversal of 46689736119408 is 80491163798664.

It is a happy number.

46689736119408 is a `hidden beast` number, since 4 + 6 + 6 + 89 + 73 + 61 + 19 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689736119407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366945016 + ... + 367072232.

It is an arithmetic number, because the mean of its divisors is an integer number (860287426362).

Almost surely, 2^{46689736119408} is an apocalyptic number.

46689736119408 is a gapful number since it is divisible by the number (48) 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 46689736119408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68822994108960).

46689736119408 is an abundant number, since it is smaller than the sum of its proper divisors (90956252098512).

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

46689736119408 is a wasteful number, since it uses less digits than its factorization.

46689736119408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150232 (or 150220 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 46689736119408 in words is "forty-six trillion, six hundred eighty-nine billion, seven hundred thirty-six million, one hundred nineteen thousand, four hundred eight".