147541606603776 has 1760 divisors, whose sum is σ = 559421784244224. Its totient is φ = 37623398400000.

The previous prime is 147541606603739. The next prime is 147541606603861. The reversal of 147541606603776 is 677306606145741.

147541606603776 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 4 + 16 + 0 + 6 + 603 + 7 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 159 ways as a sum of consecutive naturals, for example, 81922046076 + ... + 81922047876.

Almost surely, 2^{147541606603776} is an apocalyptic number.

147541606603776 is a gapful number since it is divisible by the number (16) 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 147541606603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279710892122112).

147541606603776 is an abundant number, since it is smaller than the sum of its proper divisors (411880177640448).

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

147541606603776 is a wasteful number, since it uses less digits than its factorization.

147541606603776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 147541606603776 in words is "one hundred forty-seven trillion, five hundred forty-one billion, six hundred six million, six hundred three thousand, seven hundred seventy-six".