36461648930112 has 1176 divisors, whose sum is σ = 130689228356352. Its totient is φ = 10048582656000.

The previous prime is 36461648930107. The next prime is 36461648930149. The reversal of 36461648930112 is 21103984616463.

It is a happy number.

36461648930112 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 16 + 489 + 30 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 28419055423 + ... + 28419056705.

Almost surely, 2^{36461648930112} is an apocalyptic number.

36461648930112 is a gapful number since it is divisible by the number (32) 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 36461648930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65344614178176).

36461648930112 is an abundant number, since it is smaller than the sum of its proper divisors (94227579426240).

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

36461648930112 is a wasteful number, since it uses less digits than its factorization.

36461648930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 36461648930112 in words is "thirty-six trillion, four hundred sixty-one billion, six hundred forty-eight million, nine hundred thirty thousand, one hundred twelve".