87041495346 has 192 divisors, whose sum is σ = 210099225600. Its totient is φ = 23921194752.

The previous prime is 87041495293. The next prime is 87041495347. The reversal of 87041495346 is 64359414078.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87041495347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24022891 + ... + 24026513.

It is an arithmetic number, because the mean of its divisors is an integer number (1094266800).

Almost surely, 2^87041495346 is an apocalyptic number.

87041495346 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 87041495346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105049612800).

87041495346 is an abundant number, since it is smaller than the sum of its proper divisors (123057730254).

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

87041495346 is a wasteful number, since it uses less digits than its factorization.

87041495346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 87041495346 in words is "eighty-seven billion, forty-one million, four hundred ninety-five thousand, three hundred forty-six".