46467381979392 has 288 divisors, whose sum is σ = 135858708445824. Its totient is φ = 13982520115200.

The previous prime is 46467381979391. The next prime is 46467381979463. The reversal of 46467381979392 is 29397918376464.

It is not an unprimeable number, because it can be changed into a prime (46467381979391) 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 31 ways as a sum of consecutive naturals, for example, 2282614078 + ... + 2282634434.

It is an arithmetic number, because the mean of its divisors is an integer number (471731626548).

Almost surely, 2^{46467381979392} 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 46467381979392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67929354222912).

46467381979392 is an abundant number, since it is smaller than the sum of its proper divisors (89391326466432).

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

46467381979392 is a wasteful number, since it uses less digits than its factorization.

46467381979392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22265 (or 22251 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 78.

It can be divided in two parts, 46467 and 381979392, that multiplied together give a square (17749436408064 = 4213008²).

The spelling of 46467381979392 in words is "forty-six trillion, four hundred sixty-seven billion, three hundred eighty-one million, nine hundred seventy-nine thousand, three hundred ninety-two".