48046378044672 has 576 divisors, whose sum is σ = 169518510120960. Its totient is φ = 13124519755776.

The previous prime is 48046378044653. The next prime is 48046378044701. The reversal of 48046378044672 is 27644087364084.

48046378044672 is a `hidden beast` number, since 4 + 8 + 0 + 46 + 3 + 7 + 80 + 446 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×48046378044672³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2689706013 + ... + 2689723875.

It is an arithmetic number, because the mean of its divisors is an integer number (294302968960).

Almost surely, 2^{48046378044672} is an apocalyptic number.

48046378044672 is a gapful number since it is divisible by the number (42) 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 48046378044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84759255060480).

48046378044672 is an abundant number, since it is smaller than the sum of its proper divisors (121472132076288).

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

48046378044672 is a wasteful number, since it uses less digits than its factorization.

48046378044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20335 (or 20315 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 48046378044672 in words is "forty-eight trillion, forty-six billion, three hundred seventy-eight million, forty-four thousand, six hundred seventy-two".