46106141652 has 192 divisors, whose sum is σ = 126778982400. Its totient is φ = 14469840000.

The previous prime is 46106141651. The next prime is 46106141659. The reversal of 46106141652 is 25614160164.

46106141652 is a `hidden beast` number, since 461 + 0 + 6 + 141 + 6 + 52 = 666.

It is a super-3 number, since 3×46106141652³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46106141651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19949577 + ... + 19951887.

It is an arithmetic number, because the mean of its divisors is an integer number (660307200).

Almost surely, 2^46106141652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46106141652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63389491200).

46106141652 is an abundant number, since it is smaller than the sum of its proper divisors (80672840748).

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

46106141652 is a wasteful number, since it uses less digits than its factorization.

46106141652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 46106141652 in words is "forty-six billion, one hundred six million, one hundred forty-one thousand, six hundred fifty-two".