16048414578240 has 1680 divisors, whose sum is σ = 64782464710656. Its totient is φ = 3766102179840.

The previous prime is 16048414578139. The next prime is 16048414578281. The reversal of 16048414578240 is 4287541484061.

16048414578240 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 8 + 41 + 4 + 578 + 24 + 0 = 666.

It is a super-2 number, since 2×16048414578240² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17127443052 + ... + 17127443988.

Almost surely, 2^{16048414578240} is an apocalyptic number.

16048414578240 is a gapful number since it is divisible by the number (10) 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 16048414578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32391232355328).

16048414578240 is an abundant number, since it is smaller than the sum of its proper divisors (48734050132416).

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

16048414578240 is a wasteful number, since it uses less digits than its factorization.

16048414578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 16048414578240 in words is "sixteen trillion, forty-eight billion, four hundred fourteen million, five hundred seventy-eight thousand, two hundred forty".