46382969493432 has 768 divisors, whose sum is σ = 153770335488000. Its totient is φ = 12867680010240.

The previous prime is 46382969493431. The next prime is 46382969493461. The reversal of 46382969493432 is 23439496928364.

46382969493432 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 2 + 96 + 9 + 493 + 43 + 2 = 666.

It is a super-2 number, since 2×46382969493432² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46382969493431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43634025333 + ... + 43634026395.

It is an arithmetic number, because the mean of its divisors is an integer number (200221791000).

Almost surely, 2^{46382969493432} 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 46382969493432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76885167744000).

46382969493432 is an abundant number, since it is smaller than the sum of its proper divisors (107387365994568).

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

46382969493432 is a wasteful number, since it uses less digits than its factorization.

46382969493432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2028 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 72.

The spelling of 46382969493432 in words is "forty-six trillion, three hundred eighty-two billion, nine hundred sixty-nine million, four hundred ninety-three thousand, four hundred thirty-two".