46116147147840 has 2016 divisors, whose sum is σ = 218970113443200. Its totient is φ = 9078038323200.

The previous prime is 46116147147797. The next prime is 46116147147881. The reversal of 46116147147840 is 4874174161164.

It is a happy number.

46116147147840 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 61 + 4 + 71 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×46116147147840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 973280950 + ... + 973328330.

It is an arithmetic number, because the mean of its divisors is an integer number (108616127700).

Almost surely, 2^{46116147147840} is an apocalyptic number.

46116147147840 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 46116147147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109485056721600).

46116147147840 is an abundant number, since it is smaller than the sum of its proper divisors (172853966295360).

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

46116147147840 is a wasteful number, since it uses less digits than its factorization.

46116147147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47462 (or 47428 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 46116147147840 in words is "forty-six trillion, one hundred sixteen billion, one hundred forty-seven million, one hundred forty-seven thousand, eight hundred forty".